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Finding the Fourth Proportional to 49,854.76, 68,730.66 and 39,817

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Solution

The fourth proportional to 49,854.76, 68,730.66 and 39,817 is: 54,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,854.76 : 68,730.66 = 39,817 : x
  2. Step 2: Convert to fraction form
    49,854.76/68,730.66 = 39,817/x
  3. Step 3: Cross multiply
    49,854.76x = 68,730.66 × 39,817
  4. Step 4: Simplify right side
    49,854.76x = 2,736,648,689.22
  5. Step 5: Solve for x
    x = 2,736,648,689.22/49,854.76
  6. Step 6: Final answer
    x = 54,892.43

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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.