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Finding the Fourth Proportional to 147,059.92, 202,978.74 and 83,434.96

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Solution

The fourth proportional to 147,059.92, 202,978.74 and 83,434.96 is: 115,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,059.92 : 202,978.74 = 83,434.96 : x
  2. Step 2: Convert to fraction form
    147,059.92/202,978.74 = 83,434.96/x
  3. Step 3: Cross multiply
    147,059.92x = 202,978.74 × 83,434.96
  4. Step 4: Simplify right side
    147,059.92x = 16,935,523,052.75
  5. Step 5: Solve for x
    x = 16,935,523,052.75/147,059.92
  6. Step 6: Final answer
    x = 115,160.70

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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.