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Finding the Fourth Proportional to 56,686.68, 78,227.64 and 31,536

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Solution

The fourth proportional to 56,686.68, 78,227.64 and 31,536 is: 43,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,686.68 : 78,227.64 = 31,536 : x
  2. Step 2: Convert to fraction form
    56,686.68/78,227.64 = 31,536/x
  3. Step 3: Cross multiply
    56,686.68x = 78,227.64 × 31,536
  4. Step 4: Simplify right side
    56,686.68x = 2,466,986,855.04
  5. Step 5: Solve for x
    x = 2,466,986,855.04/56,686.68
  6. Step 6: Final answer
    x = 43,519.69

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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.