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Finding the Fourth Proportional to 85,419.85, 117,876.59 and 47,693.29

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Solution

The fourth proportional to 85,419.85, 117,876.59 and 47,693.29 is: 65,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,419.85 : 117,876.59 = 47,693.29 : x
  2. Step 2: Convert to fraction form
    85,419.85/117,876.59 = 47,693.29/x
  3. Step 3: Cross multiply
    85,419.85x = 117,876.59 × 47,693.29
  4. Step 4: Simplify right side
    85,419.85x = 5,621,922,152.61
  5. Step 5: Solve for x
    x = 5,621,922,152.61/85,419.85
  6. Step 6: Final answer
    x = 65,815.17

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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.