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Finding the Fourth Proportional to 90,180, 124,445 and 49,895.48

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Solution

The fourth proportional to 90,180, 124,445 and 49,895.48 is: 68,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,180 : 124,445 = 49,895.48 : x
  2. Step 2: Convert to fraction form
    90,180/124,445 = 49,895.48/x
  3. Step 3: Cross multiply
    90,180x = 124,445 × 49,895.48
  4. Step 4: Simplify right side
    90,180x = 6,209,243,008.60
  5. Step 5: Solve for x
    x = 6,209,243,008.60/90,180
  6. Step 6: Final answer
    x = 68,853.88

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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.