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Finding the Fourth Proportional to 87,678.80, 131,453.40 and 48,280.40

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Solution

The fourth proportional to 87,678.80, 131,453.40 and 48,280.40 is: 72,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,678.80 : 131,453.40 = 48,280.40 : x
  2. Step 2: Convert to fraction form
    87,678.80/131,453.40 = 48,280.40/x
  3. Step 3: Cross multiply
    87,678.80x = 131,453.40 × 48,280.40
  4. Step 4: Simplify right side
    87,678.80x = 6,346,622,733.36
  5. Step 5: Solve for x
    x = 6,346,622,733.36/87,678.80
  6. Step 6: Final answer
    x = 72,384.92

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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.