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Finding the Fourth Proportional to 312,771.75, 469,244.03 and 91,155.75

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Solution

The fourth proportional to 312,771.75, 469,244.03 and 91,155.75 is: 136,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,771.75 : 469,244.03 = 91,155.75 : x
  2. Step 2: Convert to fraction form
    312,771.75/469,244.03 = 91,155.75/x
  3. Step 3: Cross multiply
    312,771.75x = 469,244.03 × 91,155.75
  4. Step 4: Simplify right side
    312,771.75x = 42,774,291,031.89
  5. Step 5: Solve for x
    x = 42,774,291,031.89/312,771.75
  6. Step 6: Final answer
    x = 136,758.81

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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.