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Finding the Fourth Proportional to 65,845.80, 98,655.30 and 30,713.40

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Solution

The fourth proportional to 65,845.80, 98,655.30 and 30,713.40 is: 46,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,845.80 : 98,655.30 = 30,713.40 : x
  2. Step 2: Convert to fraction form
    65,845.80/98,655.30 = 30,713.40/x
  3. Step 3: Cross multiply
    65,845.80x = 98,655.30 × 30,713.40
  4. Step 4: Simplify right side
    65,845.80x = 3,030,039,691.02
  5. Step 5: Solve for x
    x = 3,030,039,691.02/65,845.80
  6. Step 6: Final answer
    x = 46,017.21

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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.