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Finding the Fourth Proportional to 87,565.50, 120,840.39 and 47,821.50

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Solution

The fourth proportional to 87,565.50, 120,840.39 and 47,821.50 is: 65,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,565.50 : 120,840.39 = 47,821.50 : x
  2. Step 2: Convert to fraction form
    87,565.50/120,840.39 = 47,821.50/x
  3. Step 3: Cross multiply
    87,565.50x = 120,840.39 × 47,821.50
  4. Step 4: Simplify right side
    87,565.50x = 5,778,768,710.39
  5. Step 5: Solve for x
    x = 5,778,768,710.39/87,565.50
  6. Step 6: Final answer
    x = 65,993.67

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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.