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Finding the Fourth Proportional to 85,768, 118,359.84 and 48,042.16

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Solution

The fourth proportional to 85,768, 118,359.84 and 48,042.16 is: 66,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,768 : 118,359.84 = 48,042.16 : x
  2. Step 2: Convert to fraction form
    85,768/118,359.84 = 48,042.16/x
  3. Step 3: Cross multiply
    85,768x = 118,359.84 × 48,042.16
  4. Step 4: Simplify right side
    85,768x = 5,686,262,370.85
  5. Step 5: Solve for x
    x = 5,686,262,370.85/85,768
  6. Step 6: Final answer
    x = 66,298.18

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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.