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Finding the Fourth Proportional to 90,405.84, 124,862.19 and 61,676.17

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Solution

The fourth proportional to 90,405.84, 124,862.19 and 61,676.17 is: 85,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,405.84 : 124,862.19 = 61,676.17 : x
  2. Step 2: Convert to fraction form
    90,405.84/124,862.19 = 61,676.17/x
  3. Step 3: Cross multiply
    90,405.84x = 124,862.19 × 61,676.17
  4. Step 4: Simplify right side
    90,405.84x = 7,701,021,657.01
  5. Step 5: Solve for x
    x = 7,701,021,657.01/90,405.84
  6. Step 6: Final answer
    x = 85,182.79

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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.