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Finding the Fourth Proportional to 125,465, 188,197.78 and 88,191.87

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Solution

The fourth proportional to 125,465, 188,197.78 and 88,191.87 is: 132,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,465 : 188,197.78 = 88,191.87 : x
  2. Step 2: Convert to fraction form
    125,465/188,197.78 = 88,191.87/x
  3. Step 3: Cross multiply
    125,465x = 188,197.78 × 88,191.87
  4. Step 4: Simplify right side
    125,465x = 16,597,514,148.05
  5. Step 5: Solve for x
    x = 16,597,514,148.05/125,465
  6. Step 6: Final answer
    x = 132,288.00

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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.