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Finding the Fourth Proportional to 65,454.68, 98,178.83 and 21,080.45

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Solution

The fourth proportional to 65,454.68, 98,178.83 and 21,080.45 is: 31,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,454.68 : 98,178.83 = 21,080.45 : x
  2. Step 2: Convert to fraction form
    65,454.68/98,178.83 = 21,080.45/x
  3. Step 3: Cross multiply
    65,454.68x = 98,178.83 × 21,080.45
  4. Step 4: Simplify right side
    65,454.68x = 2,069,654,254.55
  5. Step 5: Solve for x
    x = 2,069,654,254.55/65,454.68
  6. Step 6: Final answer
    x = 31,619.65

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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.