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Finding the Fourth Proportional to 90,417.84, 124,775.16 and 49,581.84

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Solution

The fourth proportional to 90,417.84, 124,775.16 and 49,581.84 is: 68,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,417.84 : 124,775.16 = 49,581.84 : x
  2. Step 2: Convert to fraction form
    90,417.84/124,775.16 = 49,581.84/x
  3. Step 3: Cross multiply
    90,417.84x = 124,775.16 × 49,581.84
  4. Step 4: Simplify right side
    90,417.84x = 6,186,582,019.09
  5. Step 5: Solve for x
    x = 6,186,582,019.09/90,417.84
  6. Step 6: Final answer
    x = 68,422.14

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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.