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Finding the Fourth Proportional to 153,093.69, 229,149.19 and 81,838.14

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Solution

The fourth proportional to 153,093.69, 229,149.19 and 81,838.14 is: 122,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,093.69 : 229,149.19 = 81,838.14 : x
  2. Step 2: Convert to fraction form
    153,093.69/229,149.19 = 81,838.14/x
  3. Step 3: Cross multiply
    153,093.69x = 229,149.19 × 81,838.14
  4. Step 4: Simplify right side
    153,093.69x = 18,753,143,492.11
  5. Step 5: Solve for x
    x = 18,753,143,492.11/153,093.69
  6. Step 6: Final answer
    x = 122,494.56

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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.