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Finding the Fourth Proportional to 137,017.67, 205,386.42 and 77,728.10

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Solution

The fourth proportional to 137,017.67, 205,386.42 and 77,728.10 is: 116,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,017.67 : 205,386.42 = 77,728.10 : x
  2. Step 2: Convert to fraction form
    137,017.67/205,386.42 = 77,728.10/x
  3. Step 3: Cross multiply
    137,017.67x = 205,386.42 × 77,728.10
  4. Step 4: Simplify right side
    137,017.67x = 15,964,296,192.40
  5. Step 5: Solve for x
    x = 15,964,296,192.40/137,017.67
  6. Step 6: Final answer
    x = 116,512.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.