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Finding the Fourth Proportional to 65,798.31, 98,687.14 and 21,424.76

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Solution

The fourth proportional to 65,798.31, 98,687.14 and 21,424.76 is: 32,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,798.31 : 98,687.14 = 21,424.76 : x
  2. Step 2: Convert to fraction form
    65,798.31/98,687.14 = 21,424.76/x
  3. Step 3: Cross multiply
    65,798.31x = 98,687.14 × 21,424.76
  4. Step 4: Simplify right side
    65,798.31x = 2,114,348,289.59
  5. Step 5: Solve for x
    x = 2,114,348,289.59/65,798.31
  6. Step 6: Final answer
    x = 32,133.78

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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.