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Finding the Fourth Proportional to 65,857.32, 98,775.92 and 21,484.00

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Solution

The fourth proportional to 65,857.32, 98,775.92 and 21,484.00 is: 32,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,857.32 : 98,775.92 = 21,484.00 : x
  2. Step 2: Convert to fraction form
    65,857.32/98,775.92 = 21,484.00/x
  3. Step 3: Cross multiply
    65,857.32x = 98,775.92 × 21,484.00
  4. Step 4: Simplify right side
    65,857.32x = 2,122,102,042.46
  5. Step 5: Solve for x
    x = 2,122,102,042.46/65,857.32
  6. Step 6: Final answer
    x = 32,222.72

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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.