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Finding the Fourth Proportional to 129,707, 178,995.66 and 70,091

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Solution

The fourth proportional to 129,707, 178,995.66 and 70,091 is: 96,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,707 : 178,995.66 = 70,091 : x
  2. Step 2: Convert to fraction form
    129,707/178,995.66 = 70,091/x
  3. Step 3: Cross multiply
    129,707x = 178,995.66 × 70,091
  4. Step 4: Simplify right side
    129,707x = 12,545,984,805.06
  5. Step 5: Solve for x
    x = 12,545,984,805.06/129,707
  6. Step 6: Final answer
    x = 96,725.58

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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.