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Finding the Fourth Proportional to 253,605.43, 349,972.98 and 137,318.35

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Solution

The fourth proportional to 253,605.43, 349,972.98 and 137,318.35 is: 189,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,605.43 : 349,972.98 = 137,318.35 : x
  2. Step 2: Convert to fraction form
    253,605.43/349,972.98 = 137,318.35/x
  3. Step 3: Cross multiply
    253,605.43x = 349,972.98 × 137,318.35
  4. Step 4: Simplify right side
    253,605.43x = 48,057,712,158.18
  5. Step 5: Solve for x
    x = 48,057,712,158.18/253,605.43
  6. Step 6: Final answer
    x = 189,497.96

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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.