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Finding the Fourth Proportional to 130,107.60, 195,082.20 and 51,127.20

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Solution

The fourth proportional to 130,107.60, 195,082.20 and 51,127.20 is: 76,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,107.60 : 195,082.20 = 51,127.20 : x
  2. Step 2: Convert to fraction form
    130,107.60/195,082.20 = 51,127.20/x
  3. Step 3: Cross multiply
    130,107.60x = 195,082.20 × 51,127.20
  4. Step 4: Simplify right side
    130,107.60x = 9,974,006,655.84
  5. Step 5: Solve for x
    x = 9,974,006,655.84/130,107.60
  6. Step 6: Final answer
    x = 76,659.68

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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.