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Finding the Fourth Proportional to 138,131.76, 207,166.80 and 53,894.16

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Solution

The fourth proportional to 138,131.76, 207,166.80 and 53,894.16 is: 80,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,131.76 : 207,166.80 = 53,894.16 : x
  2. Step 2: Convert to fraction form
    138,131.76/207,166.80 = 53,894.16/x
  3. Step 3: Cross multiply
    138,131.76x = 207,166.80 × 53,894.16
  4. Step 4: Simplify right side
    138,131.76x = 11,165,080,665.89
  5. Step 5: Solve for x
    x = 11,165,080,665.89/138,131.76
  6. Step 6: Final answer
    x = 80,829.21

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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.