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Finding the Fourth Proportional to 85,878.65, 118,514.43 and 47,636.95

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Solution

The fourth proportional to 85,878.65, 118,514.43 and 47,636.95 is: 65,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,878.65 : 118,514.43 = 47,636.95 : x
  2. Step 2: Convert to fraction form
    85,878.65/118,514.43 = 47,636.95/x
  3. Step 3: Cross multiply
    85,878.65x = 118,514.43 × 47,636.95
  4. Step 4: Simplify right side
    85,878.65x = 5,645,665,976.19
  5. Step 5: Solve for x
    x = 5,645,665,976.19/85,878.65
  6. Step 6: Final answer
    x = 65,740.04

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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.