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Finding the Fourth Proportional to 102,209.76, 153,314.52 and 28,337.76

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Solution

The fourth proportional to 102,209.76, 153,314.52 and 28,337.76 is: 42,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,209.76 : 153,314.52 = 28,337.76 : x
  2. Step 2: Convert to fraction form
    102,209.76/153,314.52 = 28,337.76/x
  3. Step 3: Cross multiply
    102,209.76x = 153,314.52 × 28,337.76
  4. Step 4: Simplify right side
    102,209.76x = 4,344,590,072.28
  5. Step 5: Solve for x
    x = 4,344,590,072.28/102,209.76
  6. Step 6: Final answer
    x = 42,506.61

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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.