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Finding the Fourth Proportional to 192,677.76, 289,011.22 and 52,437.60

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Solution

The fourth proportional to 192,677.76, 289,011.22 and 52,437.60 is: 78,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,677.76 : 289,011.22 = 52,437.60 : x
  2. Step 2: Convert to fraction form
    192,677.76/289,011.22 = 52,437.60/x
  3. Step 3: Cross multiply
    192,677.76x = 289,011.22 × 52,437.60
  4. Step 4: Simplify right side
    192,677.76x = 15,155,054,749.87
  5. Step 5: Solve for x
    x = 15,155,054,749.87/192,677.76
  6. Step 6: Final answer
    x = 78,654.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.