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Finding the Fourth Proportional to 87,312.72, 120,506 and 51,511.48

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Solution

The fourth proportional to 87,312.72, 120,506 and 51,511.48 is: 71,094.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,312.72 : 120,506 = 51,511.48 : x
  2. Step 2: Convert to fraction form
    87,312.72/120,506 = 51,511.48/x
  3. Step 3: Cross multiply
    87,312.72x = 120,506 × 51,511.48
  4. Step 4: Simplify right side
    87,312.72x = 6,207,442,408.88
  5. Step 5: Solve for x
    x = 6,207,442,408.88/87,312.72
  6. Step 6: Final answer
    x = 71,094.37

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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.