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Finding the Fourth Proportional to 87,257.96, 130,873.98 and 31,841

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Solution

The fourth proportional to 87,257.96, 130,873.98 and 31,841 is: 47,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,257.96 : 130,873.98 = 31,841 : x
  2. Step 2: Convert to fraction form
    87,257.96/130,873.98 = 31,841/x
  3. Step 3: Cross multiply
    87,257.96x = 130,873.98 × 31,841
  4. Step 4: Simplify right side
    87,257.96x = 4,167,158,397.18
  5. Step 5: Solve for x
    x = 4,167,158,397.18/87,257.96
  6. Step 6: Final answer
    x = 47,756.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.