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Finding the Fourth Proportional to 137,211.61, 189,324.84 and 76,770.52

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Solution

The fourth proportional to 137,211.61, 189,324.84 and 76,770.52 is: 105,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,211.61 : 189,324.84 = 76,770.52 : x
  2. Step 2: Convert to fraction form
    137,211.61/189,324.84 = 76,770.52/x
  3. Step 3: Cross multiply
    137,211.61x = 189,324.84 × 76,770.52
  4. Step 4: Simplify right side
    137,211.61x = 14,534,566,647.50
  5. Step 5: Solve for x
    x = 14,534,566,647.50/137,211.61
  6. Step 6: Final answer
    x = 105,928.11

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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.