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Finding the Fourth Proportional to 125,217, 187,825.50 and 42,111

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Solution

The fourth proportional to 125,217, 187,825.50 and 42,111 is: 63,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,217 : 187,825.50 = 42,111 : x
  2. Step 2: Convert to fraction form
    125,217/187,825.50 = 42,111/x
  3. Step 3: Cross multiply
    125,217x = 187,825.50 × 42,111
  4. Step 4: Simplify right side
    125,217x = 7,909,519,630.50
  5. Step 5: Solve for x
    x = 7,909,519,630.50/125,217
  6. Step 6: Final answer
    x = 63,166.50

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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.