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Finding the Fourth Proportional to 138,030.92, 190,489.42 and 77,620.58

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Solution

The fourth proportional to 138,030.92, 190,489.42 and 77,620.58 is: 107,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,030.92 : 190,489.42 = 77,620.58 : x
  2. Step 2: Convert to fraction form
    138,030.92/190,489.42 = 77,620.58/x
  3. Step 3: Cross multiply
    138,030.92x = 190,489.42 × 77,620.58
  4. Step 4: Simplify right side
    138,030.92x = 14,785,899,264.26
  5. Step 5: Solve for x
    x = 14,785,899,264.26/138,030.92
  6. Step 6: Final answer
    x = 107,120.20

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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.