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Finding the Fourth Proportional to 65,102.19, 97,660.50 and 20,718.66

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Solution

The fourth proportional to 65,102.19, 97,660.50 and 20,718.66 is: 31,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.19 : 97,660.50 = 20,718.66 : x
  2. Step 2: Convert to fraction form
    65,102.19/97,660.50 = 20,718.66/x
  3. Step 3: Cross multiply
    65,102.19x = 97,660.50 × 20,718.66
  4. Step 4: Simplify right side
    65,102.19x = 2,023,394,694.93
  5. Step 5: Solve for x
    x = 2,023,394,694.93/65,102.19
  6. Step 6: Final answer
    x = 31,080.29

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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.