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Finding the Fourth Proportional to 65,482.06, 98,229.12 and 21,098.38

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Solution

The fourth proportional to 65,482.06, 98,229.12 and 21,098.38 is: 31,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,482.06 : 98,229.12 = 21,098.38 : x
  2. Step 2: Convert to fraction form
    65,482.06/98,229.12 = 21,098.38/x
  3. Step 3: Cross multiply
    65,482.06x = 98,229.12 × 21,098.38
  4. Step 4: Simplify right side
    65,482.06x = 2,072,475,300.83
  5. Step 5: Solve for x
    x = 2,072,475,300.83/65,482.06
  6. Step 6: Final answer
    x = 31,649.51

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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.