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Finding the Fourth Proportional to 87,303.25, 120,478.50 and 47,559.25

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Solution

The fourth proportional to 87,303.25, 120,478.50 and 47,559.25 is: 65,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,303.25 : 120,478.50 = 47,559.25 : x
  2. Step 2: Convert to fraction form
    87,303.25/120,478.50 = 47,559.25/x
  3. Step 3: Cross multiply
    87,303.25x = 120,478.50 × 47,559.25
  4. Step 4: Simplify right side
    87,303.25x = 5,729,867,101.13
  5. Step 5: Solve for x
    x = 5,729,867,101.13/87,303.25
  6. Step 6: Final answer
    x = 65,631.77

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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.