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Finding the Fourth Proportional to 78,871.36, 117,947.68 and 58,894.88

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Solution

The fourth proportional to 78,871.36, 117,947.68 and 58,894.88 is: 88,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,871.36 : 117,947.68 = 58,894.88 : x
  2. Step 2: Convert to fraction form
    78,871.36/117,947.68 = 58,894.88/x
  3. Step 3: Cross multiply
    78,871.36x = 117,947.68 × 58,894.88
  4. Step 4: Simplify right side
    78,871.36x = 6,946,514,459.88
  5. Step 5: Solve for x
    x = 6,946,514,459.88/78,871.36
  6. Step 6: Final answer
    x = 88,073.98

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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.