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Finding the Fourth Proportional to 145,142.64, 217,721.52 and 39,959.28

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Solution

The fourth proportional to 145,142.64, 217,721.52 and 39,959.28 is: 59,941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,142.64 : 217,721.52 = 39,959.28 : x
  2. Step 2: Convert to fraction form
    145,142.64/217,721.52 = 39,959.28/x
  3. Step 3: Cross multiply
    145,142.64x = 217,721.52 × 39,959.28
  4. Step 4: Simplify right side
    145,142.64x = 8,699,995,179.71
  5. Step 5: Solve for x
    x = 8,699,995,179.71/145,142.64
  6. Step 6: Final answer
    x = 59,941.00

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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.