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Finding the Fourth Proportional to 71,378.10, 98,502.48 and 39,547.44

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Solution

The fourth proportional to 71,378.10, 98,502.48 and 39,547.44 is: 54,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,378.10 : 98,502.48 = 39,547.44 : x
  2. Step 2: Convert to fraction form
    71,378.10/98,502.48 = 39,547.44/x
  3. Step 3: Cross multiply
    71,378.10x = 98,502.48 × 39,547.44
  4. Step 4: Simplify right side
    71,378.10x = 3,895,520,917.65
  5. Step 5: Solve for x
    x = 3,895,520,917.65/71,378.10
  6. Step 6: Final answer
    x = 54,575.86

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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.