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Finding the Fourth Proportional to 81,613.84, 112,638.40 and 45,806

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Solution

The fourth proportional to 81,613.84, 112,638.40 and 45,806 is: 63,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,613.84 : 112,638.40 = 45,806 : x
  2. Step 2: Convert to fraction form
    81,613.84/112,638.40 = 45,806/x
  3. Step 3: Cross multiply
    81,613.84x = 112,638.40 × 45,806
  4. Step 4: Simplify right side
    81,613.84x = 5,159,514,550.40
  5. Step 5: Solve for x
    x = 5,159,514,550.40/81,613.84
  6. Step 6: Final answer
    x = 63,218.62

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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.