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Finding the Fourth Proportional to 140,570.43, 210,822.53 and 51,775.71

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Solution

The fourth proportional to 140,570.43, 210,822.53 and 51,775.71 is: 77,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,570.43 : 210,822.53 = 51,775.71 : x
  2. Step 2: Convert to fraction form
    140,570.43/210,822.53 = 51,775.71/x
  3. Step 3: Cross multiply
    140,570.43x = 210,822.53 × 51,775.71
  4. Step 4: Simplify right side
    140,570.43x = 10,915,485,915.87
  5. Step 5: Solve for x
    x = 10,915,485,915.87/140,570.43
  6. Step 6: Final answer
    x = 77,651.37

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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.