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Finding the Fourth Proportional to 102,565.70, 153,934.95 and 40,280.90

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Solution

The fourth proportional to 102,565.70, 153,934.95 and 40,280.90 is: 60,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,565.70 : 153,934.95 = 40,280.90 : x
  2. Step 2: Convert to fraction form
    102,565.70/153,934.95 = 40,280.90/x
  3. Step 3: Cross multiply
    102,565.70x = 153,934.95 × 40,280.90
  4. Step 4: Simplify right side
    102,565.70x = 6,200,638,327.46
  5. Step 5: Solve for x
    x = 6,200,638,327.46/102,565.70
  6. Step 6: Final answer
    x = 60,455.28

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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.