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Finding the Fourth Proportional to 42,147, 58,163.40 and 23,285.88

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Solution

The fourth proportional to 42,147, 58,163.40 and 23,285.88 is: 32,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,147 : 58,163.40 = 23,285.88 : x
  2. Step 2: Convert to fraction form
    42,147/58,163.40 = 23,285.88/x
  3. Step 3: Cross multiply
    42,147x = 58,163.40 × 23,285.88
  4. Step 4: Simplify right side
    42,147x = 1,354,385,952.79
  5. Step 5: Solve for x
    x = 1,354,385,952.79/42,147
  6. Step 6: Final answer
    x = 32,134.81

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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.