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Finding the Fourth Proportional to 72,877.70, 100,578.38 and 42,661.20

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Solution

The fourth proportional to 72,877.70, 100,578.38 and 42,661.20 is: 58,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,877.70 : 100,578.38 = 42,661.20 : x
  2. Step 2: Convert to fraction form
    72,877.70/100,578.38 = 42,661.20/x
  3. Step 3: Cross multiply
    72,877.70x = 100,578.38 × 42,661.20
  4. Step 4: Simplify right side
    72,877.70x = 4,290,794,384.86
  5. Step 5: Solve for x
    x = 4,290,794,384.86/72,877.70
  6. Step 6: Final answer
    x = 58,876.64

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1.5x scale

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.