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Finding the Fourth Proportional to 112,791, 169,186.50 and 38,919

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Solution

The fourth proportional to 112,791, 169,186.50 and 38,919 is: 58,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,791 : 169,186.50 = 38,919 : x
  2. Step 2: Convert to fraction form
    112,791/169,186.50 = 38,919/x
  3. Step 3: Cross multiply
    112,791x = 169,186.50 × 38,919
  4. Step 4: Simplify right side
    112,791x = 6,584,569,393.50
  5. Step 5: Solve for x
    x = 6,584,569,393.50/112,791
  6. Step 6: Final answer
    x = 58,378.50

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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.