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Finding the Fourth Proportional to 138,510.02, 207,691.10 and 71,883.06

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Solution

The fourth proportional to 138,510.02, 207,691.10 and 71,883.06 is: 107,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,510.02 : 207,691.10 = 71,883.06 : x
  2. Step 2: Convert to fraction form
    138,510.02/207,691.10 = 71,883.06/x
  3. Step 3: Cross multiply
    138,510.02x = 207,691.10 × 71,883.06
  4. Step 4: Simplify right side
    138,510.02x = 14,929,471,802.77
  5. Step 5: Solve for x
    x = 14,929,471,802.77/138,510.02
  6. Step 6: Final answer
    x = 107,786.22

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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.