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Finding the Fourth Proportional to 125,219, 187,828.50 and 42,113

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Solution

The fourth proportional to 125,219, 187,828.50 and 42,113 is: 63,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,219 : 187,828.50 = 42,113 : x
  2. Step 2: Convert to fraction form
    125,219/187,828.50 = 42,113/x
  3. Step 3: Cross multiply
    125,219x = 187,828.50 × 42,113
  4. Step 4: Simplify right side
    125,219x = 7,910,021,620.50
  5. Step 5: Solve for x
    x = 7,910,021,620.50/125,219
  6. Step 6: Final answer
    x = 63,169.50

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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.