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Finding the Fourth Proportional to 54,858.32, 75,703.92 and 30,984.92

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Solution

The fourth proportional to 54,858.32, 75,703.92 and 30,984.92 is: 42,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,858.32 : 75,703.92 = 30,984.92 : x
  2. Step 2: Convert to fraction form
    54,858.32/75,703.92 = 30,984.92/x
  3. Step 3: Cross multiply
    54,858.32x = 75,703.92 × 30,984.92
  4. Step 4: Simplify right side
    54,858.32x = 2,345,679,904.89
  5. Step 5: Solve for x
    x = 2,345,679,904.89/54,858.32
  6. Step 6: Final answer
    x = 42,758.87

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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.