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Finding the Fourth Proportional to 70,120, 96,777.12 and 40,306.24

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Solution

The fourth proportional to 70,120, 96,777.12 and 40,306.24 is: 55,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,120 : 96,777.12 = 40,306.24 : x
  2. Step 2: Convert to fraction form
    70,120/96,777.12 = 40,306.24/x
  3. Step 3: Cross multiply
    70,120x = 96,777.12 × 40,306.24
  4. Step 4: Simplify right side
    70,120x = 3,900,721,825.23
  5. Step 5: Solve for x
    x = 3,900,721,825.23/70,120
  6. Step 6: Final answer
    x = 55,629.23

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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.