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Finding the Fourth Proportional to 90,522, 124,920.36 and 50,778

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Solution

The fourth proportional to 90,522, 124,920.36 and 50,778 is: 70,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,522 : 124,920.36 = 50,778 : x
  2. Step 2: Convert to fraction form
    90,522/124,920.36 = 50,778/x
  3. Step 3: Cross multiply
    90,522x = 124,920.36 × 50,778
  4. Step 4: Simplify right side
    90,522x = 6,343,206,040.08
  5. Step 5: Solve for x
    x = 6,343,206,040.08/90,522
  6. Step 6: Final answer
    x = 70,073.64

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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.