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Finding the Fourth Proportional to 129,498.76, 178,721.94 and 75,801.16

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Solution

The fourth proportional to 129,498.76, 178,721.94 and 75,801.16 is: 104,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,498.76 : 178,721.94 = 75,801.16 : x
  2. Step 2: Convert to fraction form
    129,498.76/178,721.94 = 75,801.16/x
  3. Step 3: Cross multiply
    129,498.76x = 178,721.94 × 75,801.16
  4. Step 4: Simplify right side
    129,498.76x = 13,547,330,369.45
  5. Step 5: Solve for x
    x = 13,547,330,369.45/129,498.76
  6. Step 6: Final answer
    x = 104,613.59

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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.