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Finding the Fourth Proportional to 102,511.50, 153,793.18 and 28,639.50

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Solution

The fourth proportional to 102,511.50, 153,793.18 and 28,639.50 is: 42,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,511.50 : 153,793.18 = 28,639.50 : x
  2. Step 2: Convert to fraction form
    102,511.50/153,793.18 = 28,639.50/x
  3. Step 3: Cross multiply
    102,511.50x = 153,793.18 × 28,639.50
  4. Step 4: Simplify right side
    102,511.50x = 4,404,559,778.61
  5. Step 5: Solve for x
    x = 4,404,559,778.61/102,511.50
  6. Step 6: Final answer
    x = 42,966.49

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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.