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Finding the Fourth Proportional to 159,254.37, 219,780.10 and 91,282.65

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Solution

The fourth proportional to 159,254.37, 219,780.10 and 91,282.65 is: 125,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,254.37 : 219,780.10 = 91,282.65 : x
  2. Step 2: Convert to fraction form
    159,254.37/219,780.10 = 91,282.65/x
  3. Step 3: Cross multiply
    159,254.37x = 219,780.10 × 91,282.65
  4. Step 4: Simplify right side
    159,254.37x = 20,062,109,235.19
  5. Step 5: Solve for x
    x = 20,062,109,235.19/159,254.37
  6. Step 6: Final answer
    x = 125,975.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.