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Finding the Fourth Proportional to 130,717.70, 195,784.95 and 101,039.30

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Solution

The fourth proportional to 130,717.70, 195,784.95 and 101,039.30 is: 151,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,717.70 : 195,784.95 = 101,039.30 : x
  2. Step 2: Convert to fraction form
    130,717.70/195,784.95 = 101,039.30/x
  3. Step 3: Cross multiply
    130,717.70x = 195,784.95 × 101,039.30
  4. Step 4: Simplify right side
    130,717.70x = 19,781,974,298.54
  5. Step 5: Solve for x
    x = 19,781,974,298.54/130,717.70
  6. Step 6: Final answer
    x = 151,333.56

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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.