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Finding the Fourth Proportional to 125,101.80, 187,652.70 and 118,978.20

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Solution

The fourth proportional to 125,101.80, 187,652.70 and 118,978.20 is: 178,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,101.80 : 187,652.70 = 118,978.20 : x
  2. Step 2: Convert to fraction form
    125,101.80/187,652.70 = 118,978.20/x
  3. Step 3: Cross multiply
    125,101.80x = 187,652.70 × 118,978.20
  4. Step 4: Simplify right side
    125,101.80x = 22,326,580,471.14
  5. Step 5: Solve for x
    x = 22,326,580,471.14/125,101.80
  6. Step 6: Final answer
    x = 178,467.30

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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.