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Finding the Fourth Proportional to 129,551.25, 178,825.47 and 75,853.53

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Solution

The fourth proportional to 129,551.25, 178,825.47 and 75,853.53 is: 104,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,551.25 : 178,825.47 = 75,853.53 : x
  2. Step 2: Convert to fraction form
    129,551.25/178,825.47 = 75,853.53/x
  3. Step 3: Cross multiply
    129,551.25x = 178,825.47 × 75,853.53
  4. Step 4: Simplify right side
    129,551.25x = 13,564,543,153.41
  5. Step 5: Solve for x
    x = 13,564,543,153.41/129,551.25
  6. Step 6: Final answer
    x = 104,704.07

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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.