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Finding the Fourth Proportional to 125,032.88, 187,419.72 and 78,178.16

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Solution

The fourth proportional to 125,032.88, 187,419.72 and 78,178.16 is: 117,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,032.88 : 187,419.72 = 78,178.16 : x
  2. Step 2: Convert to fraction form
    125,032.88/187,419.72 = 78,178.16/x
  3. Step 3: Cross multiply
    125,032.88x = 187,419.72 × 78,178.16
  4. Step 4: Simplify right side
    125,032.88x = 14,652,128,857.32
  5. Step 5: Solve for x
    x = 14,652,128,857.32/125,032.88
  6. Step 6: Final answer
    x = 117,186.21

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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.