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Finding the Fourth Proportional to 130,710, 195,815.02 and 88,382.34

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Solution

The fourth proportional to 130,710, 195,815.02 and 88,382.34 is: 132,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,710 : 195,815.02 = 88,382.34 : x
  2. Step 2: Convert to fraction form
    130,710/195,815.02 = 88,382.34/x
  3. Step 3: Cross multiply
    130,710x = 195,815.02 × 88,382.34
  4. Step 4: Simplify right side
    130,710x = 17,306,589,674.75
  5. Step 5: Solve for x
    x = 17,306,589,674.75/130,710
  6. Step 6: Final answer
    x = 132,404.48

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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.