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Finding the Fourth Proportional to 65,218.19, 97,785.16 and 20,830.19

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Solution

The fourth proportional to 65,218.19, 97,785.16 and 20,830.19 is: 31,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.19 : 97,785.16 = 20,830.19 : x
  2. Step 2: Convert to fraction form
    65,218.19/97,785.16 = 20,830.19/x
  3. Step 3: Cross multiply
    65,218.19x = 97,785.16 × 20,830.19
  4. Step 4: Simplify right side
    65,218.19x = 2,036,882,920.98
  5. Step 5: Solve for x
    x = 2,036,882,920.98/65,218.19
  6. Step 6: Final answer
    x = 31,231.82

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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.