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Finding the Fourth Proportional to 140,151.60, 210,102.41 and 51,384.42

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Solution

The fourth proportional to 140,151.60, 210,102.41 and 51,384.42 is: 77,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,151.60 : 210,102.41 = 51,384.42 : x
  2. Step 2: Convert to fraction form
    140,151.60/210,102.41 = 51,384.42/x
  3. Step 3: Cross multiply
    140,151.60x = 210,102.41 × 51,384.42
  4. Step 4: Simplify right side
    140,151.60x = 10,795,990,221.53
  5. Step 5: Solve for x
    x = 10,795,990,221.53/140,151.60
  6. Step 6: Final answer
    x = 77,030.80

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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.