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Finding the Fourth Proportional to 201,710.36, 278,358 and 111,064.43

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Solution

The fourth proportional to 201,710.36, 278,358 and 111,064.43 is: 153,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710.36 : 278,358 = 111,064.43 : x
  2. Step 2: Convert to fraction form
    201,710.36/278,358 = 111,064.43/x
  3. Step 3: Cross multiply
    201,710.36x = 278,358 × 111,064.43
  4. Step 4: Simplify right side
    201,710.36x = 30,915,672,605.94
  5. Step 5: Solve for x
    x = 30,915,672,605.94/201,710.36
  6. Step 6: Final answer
    x = 153,267.65

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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.