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Finding the Fourth Proportional to 117,088.10, 175,631.90 and 90,472.78

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Solution

The fourth proportional to 117,088.10, 175,631.90 and 90,472.78 is: 135,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,088.10 : 175,631.90 = 90,472.78 : x
  2. Step 2: Convert to fraction form
    117,088.10/175,631.90 = 90,472.78/x
  3. Step 3: Cross multiply
    117,088.10x = 175,631.90 × 90,472.78
  4. Step 4: Simplify right side
    117,088.10x = 15,889,906,016.86
  5. Step 5: Solve for x
    x = 15,889,906,016.86/117,088.10
  6. Step 6: Final answer
    x = 135,708.98

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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.