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Finding the Fourth Proportional to 225,819.69, 311,542.26 and 130,307.93

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Solution

The fourth proportional to 225,819.69, 311,542.26 and 130,307.93 is: 179,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,819.69 : 311,542.26 = 130,307.93 : x
  2. Step 2: Convert to fraction form
    225,819.69/311,542.26 = 130,307.93/x
  3. Step 3: Cross multiply
    225,819.69x = 311,542.26 × 130,307.93
  4. Step 4: Simplify right side
    225,819.69x = 40,596,427,008.12
  5. Step 5: Solve for x
    x = 40,596,427,008.12/225,819.69
  6. Step 6: Final answer
    x = 179,773.64

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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.