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Finding the Fourth Proportional to 75,938.80, 113,908.20 and 53,777.20

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Solution

The fourth proportional to 75,938.80, 113,908.20 and 53,777.20 is: 80,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,938.80 : 113,908.20 = 53,777.20 : x
  2. Step 2: Convert to fraction form
    75,938.80/113,908.20 = 53,777.20/x
  3. Step 3: Cross multiply
    75,938.80x = 113,908.20 × 53,777.20
  4. Step 4: Simplify right side
    75,938.80x = 6,125,664,053.04
  5. Step 5: Solve for x
    x = 6,125,664,053.04/75,938.80
  6. Step 6: Final answer
    x = 80,665.80

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1.5x scale

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.