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Finding the Fourth Proportional to 125,218, 187,827 and 42,112

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Solution

The fourth proportional to 125,218, 187,827 and 42,112 is: 63,168

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,218 : 187,827 = 42,112 : x
  2. Step 2: Convert to fraction form
    125,218/187,827 = 42,112/x
  3. Step 3: Cross multiply
    125,218x = 187,827 × 42,112
  4. Step 4: Simplify right side
    125,218x = 7,909,770,624
  5. Step 5: Solve for x
    x = 7,909,770,624/125,218
  6. Step 6: Final answer
    x = 63,168

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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.