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Finding the Fourth Proportional to 145,342, 217,987.80 and 40,132.72

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Solution

The fourth proportional to 145,342, 217,987.80 and 40,132.72 is: 60,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,342 : 217,987.80 = 40,132.72 : x
  2. Step 2: Convert to fraction form
    145,342/217,987.80 = 40,132.72/x
  3. Step 3: Cross multiply
    145,342x = 217,987.80 × 40,132.72
  4. Step 4: Simplify right side
    145,342x = 8,748,443,340.82
  5. Step 5: Solve for x
    x = 8,748,443,340.82/145,342
  6. Step 6: Final answer
    x = 60,192.12

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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.