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Finding the Fourth Proportional to 119,357.45, 164,709.45 and 65,642.30

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Solution

The fourth proportional to 119,357.45, 164,709.45 and 65,642.30 is: 90,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,357.45 : 164,709.45 = 65,642.30 : x
  2. Step 2: Convert to fraction form
    119,357.45/164,709.45 = 65,642.30/x
  3. Step 3: Cross multiply
    119,357.45x = 164,709.45 × 65,642.30
  4. Step 4: Simplify right side
    119,357.45x = 10,811,906,306.19
  5. Step 5: Solve for x
    x = 10,811,906,306.19/119,357.45
  6. Step 6: Final answer
    x = 90,584.26

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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.