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Finding the Fourth Proportional to 90,792, 125,292.96 and 51,048

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Solution

The fourth proportional to 90,792, 125,292.96 and 51,048 is: 70,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,792 : 125,292.96 = 51,048 : x
  2. Step 2: Convert to fraction form
    90,792/125,292.96 = 51,048/x
  3. Step 3: Cross multiply
    90,792x = 125,292.96 × 51,048
  4. Step 4: Simplify right side
    90,792x = 6,395,955,022.08
  5. Step 5: Solve for x
    x = 6,395,955,022.08/90,792
  6. Step 6: Final answer
    x = 70,446.24

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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.