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Finding the Fourth Proportional to 140,187.84, 193,462.88 and 76,531.52

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Solution

The fourth proportional to 140,187.84, 193,462.88 and 76,531.52 is: 105,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,187.84 : 193,462.88 = 76,531.52 : x
  2. Step 2: Convert to fraction form
    140,187.84/193,462.88 = 76,531.52/x
  3. Step 3: Cross multiply
    140,187.84x = 193,462.88 × 76,531.52
  4. Step 4: Simplify right side
    140,187.84x = 14,806,008,269.98
  5. Step 5: Solve for x
    x = 14,806,008,269.98/140,187.84
  6. Step 6: Final answer
    x = 105,615.50

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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.