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Finding the Fourth Proportional to 140,237.96, 210,231.87 and 51,470.87

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Solution

The fourth proportional to 140,237.96, 210,231.87 and 51,470.87 is: 77,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,237.96 : 210,231.87 = 51,470.87 : x
  2. Step 2: Convert to fraction form
    140,237.96/210,231.87 = 51,470.87/x
  3. Step 3: Cross multiply
    140,237.96x = 210,231.87 × 51,470.87
  4. Step 4: Simplify right side
    140,237.96x = 10,820,816,199.47
  5. Step 5: Solve for x
    x = 10,820,816,199.47/140,237.96
  6. Step 6: Final answer
    x = 77,160.40

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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.