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Finding the Fourth Proportional to 42,978.57, 59,309.48 and 23,857.22

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Solution

The fourth proportional to 42,978.57, 59,309.48 and 23,857.22 is: 32,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,978.57 : 59,309.48 = 23,857.22 : x
  2. Step 2: Convert to fraction form
    42,978.57/59,309.48 = 23,857.22/x
  3. Step 3: Cross multiply
    42,978.57x = 59,309.48 × 23,857.22
  4. Step 4: Simplify right side
    42,978.57x = 1,414,959,520.36
  5. Step 5: Solve for x
    x = 1,414,959,520.36/42,978.57
  6. Step 6: Final answer
    x = 32,922.45

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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.