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Finding the Fourth Proportional to 85,281.78, 117,689.32 and 47,042.68

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Solution

The fourth proportional to 85,281.78, 117,689.32 and 47,042.68 is: 64,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,281.78 : 117,689.32 = 47,042.68 : x
  2. Step 2: Convert to fraction form
    85,281.78/117,689.32 = 47,042.68/x
  3. Step 3: Cross multiply
    85,281.78x = 117,689.32 × 47,042.68
  4. Step 4: Simplify right side
    85,281.78x = 5,536,421,020.18
  5. Step 5: Solve for x
    x = 5,536,421,020.18/85,281.78
  6. Step 6: Final answer
    x = 64,919.15

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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.