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Finding the Fourth Proportional to 65,934.64, 98,878.68 and 28,493.20

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Solution

The fourth proportional to 65,934.64, 98,878.68 and 28,493.20 is: 42,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,934.64 : 98,878.68 = 28,493.20 : x
  2. Step 2: Convert to fraction form
    65,934.64/98,878.68 = 28,493.20/x
  3. Step 3: Cross multiply
    65,934.64x = 98,878.68 × 28,493.20
  4. Step 4: Simplify right side
    65,934.64x = 2,817,370,004.98
  5. Step 5: Solve for x
    x = 2,817,370,004.98/65,934.64
  6. Step 6: Final answer
    x = 42,729.74

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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.