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Finding the Fourth Proportional to 52,333.52, 78,499.60 and 12,890.98

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Solution

The fourth proportional to 52,333.52, 78,499.60 and 12,890.98 is: 19,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,333.52 : 78,499.60 = 12,890.98 : x
  2. Step 2: Convert to fraction form
    52,333.52/78,499.60 = 12,890.98/x
  3. Step 3: Cross multiply
    52,333.52x = 78,499.60 × 12,890.98
  4. Step 4: Simplify right side
    52,333.52x = 1,011,936,773.61
  5. Step 5: Solve for x
    x = 1,011,936,773.61/52,333.52
  6. Step 6: Final answer
    x = 19,336.30

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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.