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Finding the Fourth Proportional to 140,538.84, 193,931.88 and 79,281.66

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Solution

The fourth proportional to 140,538.84, 193,931.88 and 79,281.66 is: 109,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,538.84 : 193,931.88 = 79,281.66 : x
  2. Step 2: Convert to fraction form
    140,538.84/193,931.88 = 79,281.66/x
  3. Step 3: Cross multiply
    140,538.84x = 193,931.88 × 79,281.66
  4. Step 4: Simplify right side
    140,538.84x = 15,375,241,373.32
  5. Step 5: Solve for x
    x = 15,375,241,373.32/140,538.84
  6. Step 6: Final answer
    x = 109,402.08

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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.