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Finding the Fourth Proportional to 100,140.71, 138,188.84 and 54,809.90

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Solution

The fourth proportional to 100,140.71, 138,188.84 and 54,809.90 is: 75,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,140.71 : 138,188.84 = 54,809.90 : x
  2. Step 2: Convert to fraction form
    100,140.71/138,188.84 = 54,809.90/x
  3. Step 3: Cross multiply
    100,140.71x = 138,188.84 × 54,809.90
  4. Step 4: Simplify right side
    100,140.71x = 7,574,116,054.73
  5. Step 5: Solve for x
    x = 7,574,116,054.73/100,140.71
  6. Step 6: Final answer
    x = 75,634.74

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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.