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Finding the Fourth Proportional to 125,835, 188,781.68 and 42,729

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Solution

The fourth proportional to 125,835, 188,781.68 and 42,729 is: 64,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,835 : 188,781.68 = 42,729 : x
  2. Step 2: Convert to fraction form
    125,835/188,781.68 = 42,729/x
  3. Step 3: Cross multiply
    125,835x = 188,781.68 × 42,729
  4. Step 4: Simplify right side
    125,835x = 8,066,452,404.72
  5. Step 5: Solve for x
    x = 8,066,452,404.72/125,835
  6. Step 6: Final answer
    x = 64,103.41

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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.