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Finding the Fourth Proportional to 72,756.80, 109,077.60 and 39,924.80

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Solution

The fourth proportional to 72,756.80, 109,077.60 and 39,924.80 is: 59,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,756.80 : 109,077.60 = 39,924.80 : x
  2. Step 2: Convert to fraction form
    72,756.80/109,077.60 = 39,924.80/x
  3. Step 3: Cross multiply
    72,756.80x = 109,077.60 × 39,924.80
  4. Step 4: Simplify right side
    72,756.80x = 4,354,901,364.48
  5. Step 5: Solve for x
    x = 4,354,901,364.48/72,756.80
  6. Step 6: Final answer
    x = 59,855.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.