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Finding the Fourth Proportional to 40,429.20, 60,643.80 and 31,972.80

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Solution

The fourth proportional to 40,429.20, 60,643.80 and 31,972.80 is: 47,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,429.20 : 60,643.80 = 31,972.80 : x
  2. Step 2: Convert to fraction form
    40,429.20/60,643.80 = 31,972.80/x
  3. Step 3: Cross multiply
    40,429.20x = 60,643.80 × 31,972.80
  4. Step 4: Simplify right side
    40,429.20x = 1,938,952,088.64
  5. Step 5: Solve for x
    x = 1,938,952,088.64/40,429.20
  6. Step 6: Final answer
    x = 47,959.20

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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.