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Finding the Fourth Proportional to 316,771.54, 475,152.27 and 76,887.42

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Solution

The fourth proportional to 316,771.54, 475,152.27 and 76,887.42 is: 115,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,771.54 : 475,152.27 = 76,887.42 : x
  2. Step 2: Convert to fraction form
    316,771.54/475,152.27 = 76,887.42/x
  3. Step 3: Cross multiply
    316,771.54x = 475,152.27 × 76,887.42
  4. Step 4: Simplify right side
    316,771.54x = 36,533,231,763.01
  5. Step 5: Solve for x
    x = 36,533,231,763.01/316,771.54
  6. Step 6: Final answer
    x = 115,329.91

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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.