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Finding the Fourth Proportional to 87,056, 120,138.04 and 47,312

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Solution

The fourth proportional to 87,056, 120,138.04 and 47,312 is: 65,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,056 : 120,138.04 = 47,312 : x
  2. Step 2: Convert to fraction form
    87,056/120,138.04 = 47,312/x
  3. Step 3: Cross multiply
    87,056x = 120,138.04 × 47,312
  4. Step 4: Simplify right side
    87,056x = 5,683,970,948.48
  5. Step 5: Solve for x
    x = 5,683,970,948.48/87,056
  6. Step 6: Final answer
    x = 65,290.97

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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.