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Finding the Fourth Proportional to 127,471.08, 191,205 and 57,300.78

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Solution

The fourth proportional to 127,471.08, 191,205 and 57,300.78 is: 85,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,471.08 : 191,205 = 57,300.78 : x
  2. Step 2: Convert to fraction form
    127,471.08/191,205 = 57,300.78/x
  3. Step 3: Cross multiply
    127,471.08x = 191,205 × 57,300.78
  4. Step 4: Simplify right side
    127,471.08x = 10,956,195,639.90
  5. Step 5: Solve for x
    x = 10,956,195,639.90/127,471.08
  6. Step 6: Final answer
    x = 85,950.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.