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Finding the Fourth Proportional to 160,397,768.24, 221,310,978.42 and 90,783,149.14

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Solution

The fourth proportional to 160,397,768.24, 221,310,978.42 and 90,783,149.14 is: 125,259,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,397,768.24 : 221,310,978.42 = 90,783,149.14 : x
  2. Step 2: Convert to fraction form
    160,397,768.24/221,310,978.42 = 90,783,149.14/x
  3. Step 3: Cross multiply
    160,397,768.24x = 221,310,978.42 × 90,783,149.14
  4. Step 4: Simplify right side
    160,397,768.24x = 20,091,307,559,084,184
  5. Step 5: Solve for x
    x = 20,091,307,559,084,184/160,397,768.24
  6. Step 6: Final answer
    x = 125,259,271.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.