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Finding the Fourth Proportional to 159,775.26, 239,621.76 and 47,428.86

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Solution

The fourth proportional to 159,775.26, 239,621.76 and 47,428.86 is: 71,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,775.26 : 239,621.76 = 47,428.86 : x
  2. Step 2: Convert to fraction form
    159,775.26/239,621.76 = 47,428.86/x
  3. Step 3: Cross multiply
    159,775.26x = 239,621.76 × 47,428.86
  4. Step 4: Simplify right side
    159,775.26x = 11,364,986,907.99
  5. Step 5: Solve for x
    x = 11,364,986,907.99/159,775.26
  6. Step 6: Final answer
    x = 71,131.08

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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.