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Finding the Fourth Proportional to 112,086, 154,678.68 and 61,786.08

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Solution

The fourth proportional to 112,086, 154,678.68 and 61,786.08 is: 85,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,086 : 154,678.68 = 61,786.08 : x
  2. Step 2: Convert to fraction form
    112,086/154,678.68 = 61,786.08/x
  3. Step 3: Cross multiply
    112,086x = 154,678.68 × 61,786.08
  4. Step 4: Simplify right side
    112,086x = 9,556,989,296.77
  5. Step 5: Solve for x
    x = 9,556,989,296.77/112,086
  6. Step 6: Final answer
    x = 85,264.79

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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.