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Finding the Fourth Proportional to 130,040.72, 194,934.15 and 63,478.16

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Solution

The fourth proportional to 130,040.72, 194,934.15 and 63,478.16 is: 95,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,040.72 : 194,934.15 = 63,478.16 : x
  2. Step 2: Convert to fraction form
    130,040.72/194,934.15 = 63,478.16/x
  3. Step 3: Cross multiply
    130,040.72x = 194,934.15 × 63,478.16
  4. Step 4: Simplify right side
    130,040.72x = 12,374,061,163.16
  5. Step 5: Solve for x
    x = 12,374,061,163.16/130,040.72
  6. Step 6: Final answer
    x = 95,155.28

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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.