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Finding the Fourth Proportional to 125,226, 187,839 and 42,120

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Solution

The fourth proportional to 125,226, 187,839 and 42,120 is: 63,180

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,226 : 187,839 = 42,120 : x
  2. Step 2: Convert to fraction form
    125,226/187,839 = 42,120/x
  3. Step 3: Cross multiply
    125,226x = 187,839 × 42,120
  4. Step 4: Simplify right side
    125,226x = 7,911,778,680
  5. Step 5: Solve for x
    x = 7,911,778,680/125,226
  6. Step 6: Final answer
    x = 63,180

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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.