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Finding the Fourth Proportional to 149,368.86, 223,819.92 and 86,227.74

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Solution

The fourth proportional to 149,368.86, 223,819.92 and 86,227.74 is: 129,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,368.86 : 223,819.92 = 86,227.74 : x
  2. Step 2: Convert to fraction form
    149,368.86/223,819.92 = 86,227.74/x
  3. Step 3: Cross multiply
    149,368.86x = 223,819.92 × 86,227.74
  4. Step 4: Simplify right side
    149,368.86x = 19,299,485,868.58
  5. Step 5: Solve for x
    x = 19,299,485,868.58/149,368.86
  6. Step 6: Final answer
    x = 129,206.89

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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.