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Finding the Fourth Proportional to 65,207.63, 89,984.80 and 38,351.78

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Solution

The fourth proportional to 65,207.63, 89,984.80 and 38,351.78 is: 52,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.63 : 89,984.80 = 38,351.78 : x
  2. Step 2: Convert to fraction form
    65,207.63/89,984.80 = 38,351.78/x
  3. Step 3: Cross multiply
    65,207.63x = 89,984.80 × 38,351.78
  4. Step 4: Simplify right side
    65,207.63x = 3,451,077,080.54
  5. Step 5: Solve for x
    x = 3,451,077,080.54/65,207.63
  6. Step 6: Final answer
    x = 52,924.44

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1.5x scale

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.