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Finding the Fourth Proportional to 103,512.53, 155,210.47 and 36,013.61

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Solution

The fourth proportional to 103,512.53, 155,210.47 and 36,013.61 is: 54,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,512.53 : 155,210.47 = 36,013.61 : x
  2. Step 2: Convert to fraction form
    103,512.53/155,210.47 = 36,013.61/x
  3. Step 3: Cross multiply
    103,512.53x = 155,210.47 × 36,013.61
  4. Step 4: Simplify right side
    103,512.53x = 5,589,689,334.50
  5. Step 5: Solve for x
    x = 5,589,689,334.50/103,512.53
  6. Step 6: Final answer
    x = 54,000.12

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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.