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Finding the Fourth Proportional to 102,523.40, 153,612.30 and 49,819.40

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Solution

The fourth proportional to 102,523.40, 153,612.30 and 49,819.40 is: 74,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,523.40 : 153,612.30 = 49,819.40 : x
  2. Step 2: Convert to fraction form
    102,523.40/153,612.30 = 49,819.40/x
  3. Step 3: Cross multiply
    102,523.40x = 153,612.30 × 49,819.40
  4. Step 4: Simplify right side
    102,523.40x = 7,652,872,618.62
  5. Step 5: Solve for x
    x = 7,652,872,618.62/102,523.40
  6. Step 6: Final answer
    x = 74,645.13

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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.