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Finding the Fourth Proportional to 67,649.36, 101,471.52 and 20,902.16

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Solution

The fourth proportional to 67,649.36, 101,471.52 and 20,902.16 is: 31,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,649.36 : 101,471.52 = 20,902.16 : x
  2. Step 2: Convert to fraction form
    67,649.36/101,471.52 = 20,902.16/x
  3. Step 3: Cross multiply
    67,649.36x = 101,471.52 × 20,902.16
  4. Step 4: Simplify right side
    67,649.36x = 2,120,973,946.48
  5. Step 5: Solve for x
    x = 2,120,973,946.48/67,649.36
  6. Step 6: Final answer
    x = 31,352.46

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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.