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Finding the Fourth Proportional to 228,454.48, 342,734.27 and 76,671.70

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Solution

The fourth proportional to 228,454.48, 342,734.27 and 76,671.70 is: 115,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,454.48 : 342,734.27 = 76,671.70 : x
  2. Step 2: Convert to fraction form
    228,454.48/342,734.27 = 76,671.70/x
  3. Step 3: Cross multiply
    228,454.48x = 342,734.27 × 76,671.70
  4. Step 4: Simplify right side
    228,454.48x = 26,278,018,176.48
  5. Step 5: Solve for x
    x = 26,278,018,176.48/228,454.48
  6. Step 6: Final answer
    x = 115,025.18

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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.