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Finding the Fourth Proportional to 90,560, 124,984.32 and 50,816

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Solution

The fourth proportional to 90,560, 124,984.32 and 50,816 is: 70,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,560 : 124,984.32 = 50,816 : x
  2. Step 2: Convert to fraction form
    90,560/124,984.32 = 50,816/x
  3. Step 3: Cross multiply
    90,560x = 124,984.32 × 50,816
  4. Step 4: Simplify right side
    90,560x = 6,351,203,205.12
  5. Step 5: Solve for x
    x = 6,351,203,205.12/90,560
  6. Step 6: Final answer
    x = 70,132.54

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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.