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Finding the Fourth Proportional to 90,432, 124,796.16 and 50,688

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Solution

The fourth proportional to 90,432, 124,796.16 and 50,688 is: 69,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,432 : 124,796.16 = 50,688 : x
  2. Step 2: Convert to fraction form
    90,432/124,796.16 = 50,688/x
  3. Step 3: Cross multiply
    90,432x = 124,796.16 × 50,688
  4. Step 4: Simplify right side
    90,432x = 6,325,667,758.08
  5. Step 5: Solve for x
    x = 6,325,667,758.08/90,432
  6. Step 6: Final answer
    x = 69,949.44

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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.