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Finding the Fourth Proportional to 312,775.50, 469,249.65 and 91,159.50

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Solution

The fourth proportional to 312,775.50, 469,249.65 and 91,159.50 is: 136,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,775.50 : 469,249.65 = 91,159.50 : x
  2. Step 2: Convert to fraction form
    312,775.50/469,249.65 = 91,159.50/x
  3. Step 3: Cross multiply
    312,775.50x = 469,249.65 × 91,159.50
  4. Step 4: Simplify right side
    312,775.50x = 42,776,563,469.18
  5. Step 5: Solve for x
    x = 42,776,563,469.18/312,775.50
  6. Step 6: Final answer
    x = 136,764.43

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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.