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Finding the Fourth Proportional to 76,057.78, 114,010.08 and 31,709.08

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Solution

The fourth proportional to 76,057.78, 114,010.08 and 31,709.08 is: 47,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,057.78 : 114,010.08 = 31,709.08 : x
  2. Step 2: Convert to fraction form
    76,057.78/114,010.08 = 31,709.08/x
  3. Step 3: Cross multiply
    76,057.78x = 114,010.08 × 31,709.08
  4. Step 4: Simplify right side
    76,057.78x = 3,615,154,747.53
  5. Step 5: Solve for x
    x = 3,615,154,747.53/76,057.78
  6. Step 6: Final answer
    x = 47,531.69

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1.5x scale

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.