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Finding the Fourth Proportional to 90,784, 125,281.92 and 51,040

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Solution

The fourth proportional to 90,784, 125,281.92 and 51,040 is: 70,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,784 : 125,281.92 = 51,040 : x
  2. Step 2: Convert to fraction form
    90,784/125,281.92 = 51,040/x
  3. Step 3: Cross multiply
    90,784x = 125,281.92 × 51,040
  4. Step 4: Simplify right side
    90,784x = 6,394,389,196.80
  5. Step 5: Solve for x
    x = 6,394,389,196.80/90,784
  6. Step 6: Final answer
    x = 70,435.20

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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.