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Finding the Fourth Proportional to 231,073.95, 318,711.45 and 146,109

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Solution

The fourth proportional to 231,073.95, 318,711.45 and 146,109 is: 201,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,073.95 : 318,711.45 = 146,109 : x
  2. Step 2: Convert to fraction form
    231,073.95/318,711.45 = 146,109/x
  3. Step 3: Cross multiply
    231,073.95x = 318,711.45 × 146,109
  4. Step 4: Simplify right side
    231,073.95x = 46,566,611,248.05
  5. Step 5: Solve for x
    x = 46,566,611,248.05/231,073.95
  6. Step 6: Final answer
    x = 201,522.55

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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.