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Finding the Fourth Proportional to 76,149.75, 114,264.59 and 31,204.47

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Solution

The fourth proportional to 76,149.75, 114,264.59 and 31,204.47 is: 46,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,149.75 : 114,264.59 = 31,204.47 : x
  2. Step 2: Convert to fraction form
    76,149.75/114,264.59 = 31,204.47/x
  3. Step 3: Cross multiply
    76,149.75x = 114,264.59 × 31,204.47
  4. Step 4: Simplify right side
    76,149.75x = 3,565,565,814.69
  5. Step 5: Solve for x
    x = 3,565,565,814.69/76,149.75
  6. Step 6: Final answer
    x = 46,823.08

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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.