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Finding the Fourth Proportional to 140,281.72, 210,428.84 and 51,486.79

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Solution

The fourth proportional to 140,281.72, 210,428.84 and 51,486.79 is: 77,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,281.72 : 210,428.84 = 51,486.79 : x
  2. Step 2: Convert to fraction form
    140,281.72/210,428.84 = 51,486.79/x
  3. Step 3: Cross multiply
    140,281.72x = 210,428.84 × 51,486.79
  4. Step 4: Simplify right side
    140,281.72x = 10,834,305,202.61
  5. Step 5: Solve for x
    x = 10,834,305,202.61/140,281.72
  6. Step 6: Final answer
    x = 77,232.48

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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.