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Finding the Fourth Proportional to 243,501.10, 365,251.65 and 137,212.90

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Solution

The fourth proportional to 243,501.10, 365,251.65 and 137,212.90 is: 205,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,501.10 : 365,251.65 = 137,212.90 : x
  2. Step 2: Convert to fraction form
    243,501.10/365,251.65 = 137,212.90/x
  3. Step 3: Cross multiply
    243,501.10x = 365,251.65 × 137,212.90
  4. Step 4: Simplify right side
    243,501.10x = 50,117,238,126.29
  5. Step 5: Solve for x
    x = 50,117,238,126.29/243,501.10
  6. Step 6: Final answer
    x = 205,819.35

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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.