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Finding the Fourth Proportional to 130,898.92, 196,348.40 and 42,161.40

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Solution

The fourth proportional to 130,898.92, 196,348.40 and 42,161.40 is: 63,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,898.92 : 196,348.40 = 42,161.40 : x
  2. Step 2: Convert to fraction form
    130,898.92/196,348.40 = 42,161.40/x
  3. Step 3: Cross multiply
    130,898.92x = 196,348.40 × 42,161.40
  4. Step 4: Simplify right side
    130,898.92x = 8,278,323,431.76
  5. Step 5: Solve for x
    x = 8,278,323,431.76/130,898.92
  6. Step 6: Final answer
    x = 63,242.11

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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.