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Finding the Fourth Proportional to 130,761.72, 180,489.78 and 77,064.12

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Solution

The fourth proportional to 130,761.72, 180,489.78 and 77,064.12 is: 106,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,761.72 : 180,489.78 = 77,064.12 : x
  2. Step 2: Convert to fraction form
    130,761.72/180,489.78 = 77,064.12/x
  3. Step 3: Cross multiply
    130,761.72x = 180,489.78 × 77,064.12
  4. Step 4: Simplify right side
    130,761.72x = 13,909,286,064.69
  5. Step 5: Solve for x
    x = 13,909,286,064.69/130,761.72
  6. Step 6: Final answer
    x = 106,371.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.