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Finding the Fourth Proportional to 77,357.84, 116,036.85 and 21,198.42

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Solution

The fourth proportional to 77,357.84, 116,036.85 and 21,198.42 is: 31,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,357.84 : 116,036.85 = 21,198.42 : x
  2. Step 2: Convert to fraction form
    77,357.84/116,036.85 = 21,198.42/x
  3. Step 3: Cross multiply
    77,357.84x = 116,036.85 × 21,198.42
  4. Step 4: Simplify right side
    77,357.84x = 2,459,797,881.78
  5. Step 5: Solve for x
    x = 2,459,797,881.78/77,357.84
  6. Step 6: Final answer
    x = 31,797.66

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1.5x scale

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.