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Finding the Fourth Proportional to 118,123.38, 162,966.30 and 75,705.30

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Solution

The fourth proportional to 118,123.38, 162,966.30 and 75,705.30 is: 104,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,123.38 : 162,966.30 = 75,705.30 : x
  2. Step 2: Convert to fraction form
    118,123.38/162,966.30 = 75,705.30/x
  3. Step 3: Cross multiply
    118,123.38x = 162,966.30 × 75,705.30
  4. Step 4: Simplify right side
    118,123.38x = 12,337,412,631.39
  5. Step 5: Solve for x
    x = 12,337,412,631.39/118,123.38
  6. Step 6: Final answer
    x = 104,445.14

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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.