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Finding the Fourth Proportional to 145,605.28, 218,412.24 and 40,432

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Solution

The fourth proportional to 145,605.28, 218,412.24 and 40,432 is: 60,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,605.28 : 218,412.24 = 40,432 : x
  2. Step 2: Convert to fraction form
    145,605.28/218,412.24 = 40,432/x
  3. Step 3: Cross multiply
    145,605.28x = 218,412.24 × 40,432
  4. Step 4: Simplify right side
    145,605.28x = 8,830,843,687.68
  5. Step 5: Solve for x
    x = 8,830,843,687.68/145,605.28
  6. Step 6: Final answer
    x = 60,649.20

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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.