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Finding the Fourth Proportional to 140,248.30, 210,473.94 and 54,871.78

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Solution

The fourth proportional to 140,248.30, 210,473.94 and 54,871.78 is: 82,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,248.30 : 210,473.94 = 54,871.78 : x
  2. Step 2: Convert to fraction form
    140,248.30/210,473.94 = 54,871.78/x
  3. Step 3: Cross multiply
    140,248.30x = 210,473.94 × 54,871.78
  4. Step 4: Simplify right side
    140,248.30x = 11,549,079,731.41
  5. Step 5: Solve for x
    x = 11,549,079,731.41/140,248.30
  6. Step 6: Final answer
    x = 82,347.38

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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.