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Finding the Fourth Proportional to 160,071.05, 221,001.11 and 102,735.07

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Solution

The fourth proportional to 160,071.05, 221,001.11 and 102,735.07 is: 141,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,071.05 : 221,001.11 = 102,735.07 : x
  2. Step 2: Convert to fraction form
    160,071.05/221,001.11 = 102,735.07/x
  3. Step 3: Cross multiply
    160,071.05x = 221,001.11 × 102,735.07
  4. Step 4: Simplify right side
    160,071.05x = 22,704,563,825.01
  5. Step 5: Solve for x
    x = 22,704,563,825.01/160,071.05
  6. Step 6: Final answer
    x = 141,840.54

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1.5x scale

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.