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Finding the Fourth Proportional to 130,423.40, 195,635.10 and 31,927.40

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Solution

The fourth proportional to 130,423.40, 195,635.10 and 31,927.40 is: 47,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,423.40 : 195,635.10 = 31,927.40 : x
  2. Step 2: Convert to fraction form
    130,423.40/195,635.10 = 31,927.40/x
  3. Step 3: Cross multiply
    130,423.40x = 195,635.10 × 31,927.40
  4. Step 4: Simplify right side
    130,423.40x = 6,246,120,091.74
  5. Step 5: Solve for x
    x = 6,246,120,091.74/130,423.40
  6. Step 6: Final answer
    x = 47,891.10

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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.