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Finding the Fourth Proportional to 243,209.50, 335,622.57 and 135,776.50

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Solution

The fourth proportional to 243,209.50, 335,622.57 and 135,776.50 is: 187,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,209.50 : 335,622.57 = 135,776.50 : x
  2. Step 2: Convert to fraction form
    243,209.50/335,622.57 = 135,776.50/x
  3. Step 3: Cross multiply
    243,209.50x = 335,622.57 × 135,776.50
  4. Step 4: Simplify right side
    243,209.50x = 45,569,657,875.61
  5. Step 5: Solve for x
    x = 45,569,657,875.61/243,209.50
  6. Step 6: Final answer
    x = 187,367.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.