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Finding the Fourth Proportional to 56,282.88, 77,705.76 and 36,147.88

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Solution

The fourth proportional to 56,282.88, 77,705.76 and 36,147.88 is: 49,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,282.88 : 77,705.76 = 36,147.88 : x
  2. Step 2: Convert to fraction form
    56,282.88/77,705.76 = 36,147.88/x
  3. Step 3: Cross multiply
    56,282.88x = 77,705.76 × 36,147.88
  4. Step 4: Simplify right side
    56,282.88x = 2,808,898,487.79
  5. Step 5: Solve for x
    x = 2,808,898,487.79/56,282.88
  6. Step 6: Final answer
    x = 49,906.80

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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.