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Finding the Fourth Proportional to 100,073.75, 138,193.63 and 64,326.02

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Solution

The fourth proportional to 100,073.75, 138,193.63 and 64,326.02 is: 88,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,073.75 : 138,193.63 = 64,326.02 : x
  2. Step 2: Convert to fraction form
    100,073.75/138,193.63 = 64,326.02/x
  3. Step 3: Cross multiply
    100,073.75x = 138,193.63 × 64,326.02
  4. Step 4: Simplify right side
    100,073.75x = 8,889,445,355.47
  5. Step 5: Solve for x
    x = 8,889,445,355.47/100,073.75
  6. Step 6: Final answer
    x = 88,828.95

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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.