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Finding the Fourth Proportional to 140,471.76, 210,707.82 and 57,365.76

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Solution

The fourth proportional to 140,471.76, 210,707.82 and 57,365.76 is: 86,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,471.76 : 210,707.82 = 57,365.76 : x
  2. Step 2: Convert to fraction form
    140,471.76/210,707.82 = 57,365.76/x
  3. Step 3: Cross multiply
    140,471.76x = 210,707.82 × 57,365.76
  4. Step 4: Simplify right side
    140,471.76x = 12,087,414,232.24
  5. Step 5: Solve for x
    x = 12,087,414,232.24/140,471.76
  6. Step 6: Final answer
    x = 86,048.71

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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.