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Finding the Fourth Proportional to 129,681, 178,959.78 and 70,065

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Solution

The fourth proportional to 129,681, 178,959.78 and 70,065 is: 96,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,681 : 178,959.78 = 70,065 : x
  2. Step 2: Convert to fraction form
    129,681/178,959.78 = 70,065/x
  3. Step 3: Cross multiply
    129,681x = 178,959.78 × 70,065
  4. Step 4: Simplify right side
    129,681x = 12,538,816,985.70
  5. Step 5: Solve for x
    x = 12,538,816,985.70/129,681
  6. Step 6: Final answer
    x = 96,689.70

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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.