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Finding the Fourth Proportional to 65,809.60, 98,708.28 and 18,428.98

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Solution

The fourth proportional to 65,809.60, 98,708.28 and 18,428.98 is: 27,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,809.60 : 98,708.28 = 18,428.98 : x
  2. Step 2: Convert to fraction form
    65,809.60/98,708.28 = 18,428.98/x
  3. Step 3: Cross multiply
    65,809.60x = 98,708.28 × 18,428.98
  4. Step 4: Simplify right side
    65,809.60x = 1,819,092,917.95
  5. Step 5: Solve for x
    x = 1,819,092,917.95/65,809.60
  6. Step 6: Final answer
    x = 27,641.76

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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.