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Finding the Fourth Proportional to 100,614, 138,851.64 and 55,902

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Solution

The fourth proportional to 100,614, 138,851.64 and 55,902 is: 77,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614 : 138,851.64 = 55,902 : x
  2. Step 2: Convert to fraction form
    100,614/138,851.64 = 55,902/x
  3. Step 3: Cross multiply
    100,614x = 138,851.64 × 55,902
  4. Step 4: Simplify right side
    100,614x = 7,762,084,379.28
  5. Step 5: Solve for x
    x = 7,762,084,379.28/100,614
  6. Step 6: Final answer
    x = 77,147.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.