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Finding the Fourth Proportional to 97,883.92, 135,089.28 and 54,870.72

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Solution

The fourth proportional to 97,883.92, 135,089.28 and 54,870.72 is: 75,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,883.92 : 135,089.28 = 54,870.72 : x
  2. Step 2: Convert to fraction form
    97,883.92/135,089.28 = 54,870.72/x
  3. Step 3: Cross multiply
    97,883.92x = 135,089.28 × 54,870.72
  4. Step 4: Simplify right side
    97,883.92x = 7,412,446,057.88
  5. Step 5: Solve for x
    x = 7,412,446,057.88/97,883.92
  6. Step 6: Final answer
    x = 75,726.90

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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.