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Finding the Fourth Proportional to 129,561, 178,838.93 and 75,863.28

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Solution

The fourth proportional to 129,561, 178,838.93 and 75,863.28 is: 104,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,561 : 178,838.93 = 75,863.28 : x
  2. Step 2: Convert to fraction form
    129,561/178,838.93 = 75,863.28/x
  3. Step 3: Cross multiply
    129,561x = 178,838.93 × 75,863.28
  4. Step 4: Simplify right side
    129,561x = 13,567,307,442.17
  5. Step 5: Solve for x
    x = 13,567,307,442.17/129,561
  6. Step 6: Final answer
    x = 104,717.53

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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.