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Finding the Fourth Proportional to 129,792.58, 194,868.14 and 89,712.82

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Solution

The fourth proportional to 129,792.58, 194,868.14 and 89,712.82 is: 134,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,792.58 : 194,868.14 = 89,712.82 : x
  2. Step 2: Convert to fraction form
    129,792.58/194,868.14 = 89,712.82/x
  3. Step 3: Cross multiply
    129,792.58x = 194,868.14 × 89,712.82
  4. Step 4: Simplify right side
    129,792.58x = 17,482,170,367.55
  5. Step 5: Solve for x
    x = 17,482,170,367.55/129,792.58
  6. Step 6: Final answer
    x = 134,693.14

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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.