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Finding the Fourth Proportional to 78,077.92, 116,994.24 and 60,352

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Solution

The fourth proportional to 78,077.92, 116,994.24 and 60,352 is: 90,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,077.92 : 116,994.24 = 60,352 : x
  2. Step 2: Convert to fraction form
    78,077.92/116,994.24 = 60,352/x
  3. Step 3: Cross multiply
    78,077.92x = 116,994.24 × 60,352
  4. Step 4: Simplify right side
    78,077.92x = 7,060,836,372.48
  5. Step 5: Solve for x
    x = 7,060,836,372.48/78,077.92
  6. Step 6: Final answer
    x = 90,433.20

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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.