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Finding the Fourth Proportional to 134,863.68, 186,155.20 and 78,264

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Solution

The fourth proportional to 134,863.68, 186,155.20 and 78,264 is: 108,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,863.68 : 186,155.20 = 78,264 : x
  2. Step 2: Convert to fraction form
    134,863.68/186,155.20 = 78,264/x
  3. Step 3: Cross multiply
    134,863.68x = 186,155.20 × 78,264
  4. Step 4: Simplify right side
    134,863.68x = 14,569,250,572.80
  5. Step 5: Solve for x
    x = 14,569,250,572.80/134,863.68
  6. Step 6: Final answer
    x = 108,029.46

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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.