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Finding the Fourth Proportional to 78,641.57, 117,863.86 and 61,935.63

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Solution

The fourth proportional to 78,641.57, 117,863.86 and 61,935.63 is: 92,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,641.57 : 117,863.86 = 61,935.63 : x
  2. Step 2: Convert to fraction form
    78,641.57/117,863.86 = 61,935.63/x
  3. Step 3: Cross multiply
    78,641.57x = 117,863.86 × 61,935.63
  4. Step 4: Simplify right side
    78,641.57x = 7,299,972,423.33
  5. Step 5: Solve for x
    x = 7,299,972,423.33/78,641.57
  6. Step 6: Final answer
    x = 92,825.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.