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Finding the Fourth Proportional to 73,275.78, 109,742.76 and 53,505.30

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Solution

The fourth proportional to 73,275.78, 109,742.76 and 53,505.30 is: 80,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,275.78 : 109,742.76 = 53,505.30 : x
  2. Step 2: Convert to fraction form
    73,275.78/109,742.76 = 53,505.30/x
  3. Step 3: Cross multiply
    73,275.78x = 109,742.76 × 53,505.30
  4. Step 4: Simplify right side
    73,275.78x = 5,871,819,296.63
  5. Step 5: Solve for x
    x = 5,871,819,296.63/73,275.78
  6. Step 6: Final answer
    x = 80,133.15

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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.