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Finding the Fourth Proportional to 83,594, 125,391 and 28,190

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Solution

The fourth proportional to 83,594, 125,391 and 28,190 is: 42,285

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,594 : 125,391 = 28,190 : x
  2. Step 2: Convert to fraction form
    83,594/125,391 = 28,190/x
  3. Step 3: Cross multiply
    83,594x = 125,391 × 28,190
  4. Step 4: Simplify right side
    83,594x = 3,534,772,290
  5. Step 5: Solve for x
    x = 3,534,772,290/83,594
  6. Step 6: Final answer
    x = 42,285

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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.