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Finding the Fourth Proportional to 153,790.24, 212,230.56 and 86,722.24

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Solution

The fourth proportional to 153,790.24, 212,230.56 and 86,722.24 is: 119,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,790.24 : 212,230.56 = 86,722.24 : x
  2. Step 2: Convert to fraction form
    153,790.24/212,230.56 = 86,722.24/x
  3. Step 3: Cross multiply
    153,790.24x = 212,230.56 × 86,722.24
  4. Step 4: Simplify right side
    153,790.24x = 18,405,109,559.65
  5. Step 5: Solve for x
    x = 18,405,109,559.65/153,790.24
  6. Step 6: Final answer
    x = 119,676.71

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1.5x scale

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.