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Finding the Fourth Proportional to 100,187.52, 138,258.56 and 57,745.76

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Solution

The fourth proportional to 100,187.52, 138,258.56 and 57,745.76 is: 79,689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,187.52 : 138,258.56 = 57,745.76 : x
  2. Step 2: Convert to fraction form
    100,187.52/138,258.56 = 57,745.76/x
  3. Step 3: Cross multiply
    100,187.52x = 138,258.56 × 57,745.76
  4. Step 4: Simplify right side
    100,187.52x = 7,983,845,623.71
  5. Step 5: Solve for x
    x = 7,983,845,623.71/100,187.52
  6. Step 6: Final answer
    x = 79,689.02

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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.