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Finding the Fourth Proportional to 312,769, 469,239.90 and 91,153

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Solution

The fourth proportional to 312,769, 469,239.90 and 91,153 is: 136,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,769 : 469,239.90 = 91,153 : x
  2. Step 2: Convert to fraction form
    312,769/469,239.90 = 91,153/x
  3. Step 3: Cross multiply
    312,769x = 469,239.90 × 91,153
  4. Step 4: Simplify right side
    312,769x = 42,772,624,604.70
  5. Step 5: Solve for x
    x = 42,772,624,604.70/312,769
  6. Step 6: Final answer
    x = 136,754.68

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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.