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Finding the Fourth Proportional to 69,781.12, 96,300.50 and 39,978.88

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Solution

The fourth proportional to 69,781.12, 96,300.50 and 39,978.88 is: 55,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,781.12 : 96,300.50 = 39,978.88 : x
  2. Step 2: Convert to fraction form
    69,781.12/96,300.50 = 39,978.88/x
  3. Step 3: Cross multiply
    69,781.12x = 96,300.50 × 39,978.88
  4. Step 4: Simplify right side
    69,781.12x = 3,849,986,133.44
  5. Step 5: Solve for x
    x = 3,849,986,133.44/69,781.12
  6. Step 6: Final answer
    x = 55,172.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.