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Finding the Fourth Proportional to 129,702, 178,988.76 and 70,086

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Solution

The fourth proportional to 129,702, 178,988.76 and 70,086 is: 96,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,702 : 178,988.76 = 70,086 : x
  2. Step 2: Convert to fraction form
    129,702/178,988.76 = 70,086/x
  3. Step 3: Cross multiply
    129,702x = 178,988.76 × 70,086
  4. Step 4: Simplify right side
    129,702x = 12,544,606,233.36
  5. Step 5: Solve for x
    x = 12,544,606,233.36/129,702
  6. Step 6: Final answer
    x = 96,718.68

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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.