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Finding the Fourth Proportional to 154,395.71, 231,569.88 and 42,084.96

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Solution

The fourth proportional to 154,395.71, 231,569.88 and 42,084.96 is: 63,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,395.71 : 231,569.88 = 42,084.96 : x
  2. Step 2: Convert to fraction form
    154,395.71/231,569.88 = 42,084.96/x
  3. Step 3: Cross multiply
    154,395.71x = 231,569.88 × 42,084.96
  4. Step 4: Simplify right side
    154,395.71x = 9,745,609,137.00
  5. Step 5: Solve for x
    x = 9,745,609,137.00/154,395.71
  6. Step 6: Final answer
    x = 63,120.99

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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.