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Finding the Fourth Proportional to 87,174, 120,300.12 and 47,430

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Solution

The fourth proportional to 87,174, 120,300.12 and 47,430 is: 65,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,174 : 120,300.12 = 47,430 : x
  2. Step 2: Convert to fraction form
    87,174/120,300.12 = 47,430/x
  3. Step 3: Cross multiply
    87,174x = 120,300.12 × 47,430
  4. Step 4: Simplify right side
    87,174x = 5,705,834,691.60
  5. Step 5: Solve for x
    x = 5,705,834,691.60/87,174
  6. Step 6: Final answer
    x = 65,453.40

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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.