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Finding the Fourth Proportional to 103,381, 155,071.52 and 68,312.48

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Solution

The fourth proportional to 103,381, 155,071.52 and 68,312.48 is: 102,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,381 : 155,071.52 = 68,312.48 : x
  2. Step 2: Convert to fraction form
    103,381/155,071.52 = 68,312.48/x
  3. Step 3: Cross multiply
    103,381x = 155,071.52 × 68,312.48
  4. Step 4: Simplify right side
    103,381x = 10,593,320,108.57
  5. Step 5: Solve for x
    x = 10,593,320,108.57/103,381
  6. Step 6: Final answer
    x = 102,468.73

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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.