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Finding the Fourth Proportional to 70,164, 96,904.80 and 54,439.20

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Solution

The fourth proportional to 70,164, 96,904.80 and 54,439.20 is: 75,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,164 : 96,904.80 = 54,439.20 : x
  2. Step 2: Convert to fraction form
    70,164/96,904.80 = 54,439.20/x
  3. Step 3: Cross multiply
    70,164x = 96,904.80 × 54,439.20
  4. Step 4: Simplify right side
    70,164x = 5,275,419,788.16
  5. Step 5: Solve for x
    x = 5,275,419,788.16/70,164
  6. Step 6: Final answer
    x = 75,186.99

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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.