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Finding the Fourth Proportional to 130,513.68, 195,769.44 and 77,572.56

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Solution

The fourth proportional to 130,513.68, 195,769.44 and 77,572.56 is: 116,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,513.68 : 195,769.44 = 77,572.56 : x
  2. Step 2: Convert to fraction form
    130,513.68/195,769.44 = 77,572.56/x
  3. Step 3: Cross multiply
    130,513.68x = 195,769.44 × 77,572.56
  4. Step 4: Simplify right side
    130,513.68x = 15,186,336,630.57
  5. Step 5: Solve for x
    x = 15,186,336,630.57/130,513.68
  6. Step 6: Final answer
    x = 116,358.20

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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.