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Finding the Fourth Proportional to 42,010.70, 57,972.04 and 23,147.82

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Solution

The fourth proportional to 42,010.70, 57,972.04 and 23,147.82 is: 31,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,010.70 : 57,972.04 = 23,147.82 : x
  2. Step 2: Convert to fraction form
    42,010.70/57,972.04 = 23,147.82/x
  3. Step 3: Cross multiply
    42,010.70x = 57,972.04 × 23,147.82
  4. Step 4: Simplify right side
    42,010.70x = 1,341,926,289.08
  5. Step 5: Solve for x
    x = 1,341,926,289.08/42,010.70
  6. Step 6: Final answer
    x = 31,942.49

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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.