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Finding the Fourth Proportional to 78,411.33, 116,787.03 and 78,029.02

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Solution

The fourth proportional to 78,411.33, 116,787.03 and 78,029.02 is: 116,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,411.33 : 116,787.03 = 78,029.02 : x
  2. Step 2: Convert to fraction form
    78,411.33/116,787.03 = 78,029.02/x
  3. Step 3: Cross multiply
    78,411.33x = 116,787.03 × 78,029.02
  4. Step 4: Simplify right side
    78,411.33x = 9,112,777,499.61
  5. Step 5: Solve for x
    x = 9,112,777,499.61/78,411.33
  6. Step 6: Final answer
    x = 116,217.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.