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Finding the Fourth Proportional to 87,509.50, 120,763.11 and 47,765.50

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Solution

The fourth proportional to 87,509.50, 120,763.11 and 47,765.50 is: 65,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,509.50 : 120,763.11 = 47,765.50 : x
  2. Step 2: Convert to fraction form
    87,509.50/120,763.11 = 47,765.50/x
  3. Step 3: Cross multiply
    87,509.50x = 120,763.11 × 47,765.50
  4. Step 4: Simplify right side
    87,509.50x = 5,768,310,330.71
  5. Step 5: Solve for x
    x = 5,768,310,330.71/87,509.50
  6. Step 6: Final answer
    x = 65,916.39

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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.