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Finding the Fourth Proportional to 65,863.12, 98,764.80 and 28,405.48

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Solution

The fourth proportional to 65,863.12, 98,764.80 and 28,405.48 is: 42,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,863.12 : 98,764.80 = 28,405.48 : x
  2. Step 2: Convert to fraction form
    65,863.12/98,764.80 = 28,405.48/x
  3. Step 3: Cross multiply
    65,863.12x = 98,764.80 × 28,405.48
  4. Step 4: Simplify right side
    65,863.12x = 2,805,461,551.10
  5. Step 5: Solve for x
    x = 2,805,461,551.10/65,863.12
  6. Step 6: Final answer
    x = 42,595.33

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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.