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Finding the Fourth Proportional to 42,022.86, 57,990.80 and 22,902.80

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Solution

The fourth proportional to 42,022.86, 57,990.80 and 22,902.80 is: 31,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,022.86 : 57,990.80 = 22,902.80 : x
  2. Step 2: Convert to fraction form
    42,022.86/57,990.80 = 22,902.80/x
  3. Step 3: Cross multiply
    42,022.86x = 57,990.80 × 22,902.80
  4. Step 4: Simplify right side
    42,022.86x = 1,328,151,694.24
  5. Step 5: Solve for x
    x = 1,328,151,694.24/42,022.86
  6. Step 6: Final answer
    x = 31,605.46

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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.