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Finding the Fourth Proportional to 123,871.68, 185,938.56 and 77,156.64

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Solution

The fourth proportional to 123,871.68, 185,938.56 and 77,156.64 is: 115,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,871.68 : 185,938.56 = 77,156.64 : x
  2. Step 2: Convert to fraction form
    123,871.68/185,938.56 = 77,156.64/x
  3. Step 3: Cross multiply
    123,871.68x = 185,938.56 × 77,156.64
  4. Step 4: Simplify right side
    123,871.68x = 14,346,394,536.04
  5. Step 5: Solve for x
    x = 14,346,394,536.04/123,871.68
  6. Step 6: Final answer
    x = 115,816.58

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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.