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Finding the Fourth Proportional to 130,601.80, 195,513.90 and 77,984.20

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Solution

The fourth proportional to 130,601.80, 195,513.90 and 77,984.20 is: 116,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,601.80 : 195,513.90 = 77,984.20 : x
  2. Step 2: Convert to fraction form
    130,601.80/195,513.90 = 77,984.20/x
  3. Step 3: Cross multiply
    130,601.80x = 195,513.90 × 77,984.20
  4. Step 4: Simplify right side
    130,601.80x = 15,246,995,080.38
  5. Step 5: Solve for x
    x = 15,246,995,080.38/130,601.80
  6. Step 6: Final answer
    x = 116,744.14

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1.5x scale

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.