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Finding the Fourth Proportional to 85,417.44, 117,876.16 and 47,691.68

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Solution

The fourth proportional to 85,417.44, 117,876.16 and 47,691.68 is: 65,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,417.44 : 117,876.16 = 47,691.68 : x
  2. Step 2: Convert to fraction form
    85,417.44/117,876.16 = 47,691.68/x
  3. Step 3: Cross multiply
    85,417.44x = 117,876.16 × 47,691.68
  4. Step 4: Simplify right side
    85,417.44x = 5,621,712,102.35
  5. Step 5: Solve for x
    x = 5,621,712,102.35/85,417.44
  6. Step 6: Final answer
    x = 65,814.57

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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.