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Finding the Fourth Proportional to 65,982.80, 98,801.40 and 48,357.20

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Solution

The fourth proportional to 65,982.80, 98,801.40 and 48,357.20 is: 72,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,982.80 : 98,801.40 = 48,357.20 : x
  2. Step 2: Convert to fraction form
    65,982.80/98,801.40 = 48,357.20/x
  3. Step 3: Cross multiply
    65,982.80x = 98,801.40 × 48,357.20
  4. Step 4: Simplify right side
    65,982.80x = 4,777,759,060.08
  5. Step 5: Solve for x
    x = 4,777,759,060.08/65,982.80
  6. Step 6: Final answer
    x = 72,409.16

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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.