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Finding the Fourth Proportional to 77,951.16, 107,502 and 51,084

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Solution

The fourth proportional to 77,951.16, 107,502 and 51,084 is: 70,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,951.16 : 107,502 = 51,084 : x
  2. Step 2: Convert to fraction form
    77,951.16/107,502 = 51,084/x
  3. Step 3: Cross multiply
    77,951.16x = 107,502 × 51,084
  4. Step 4: Simplify right side
    77,951.16x = 5,491,632,168
  5. Step 5: Solve for x
    x = 5,491,632,168/77,951.16
  6. Step 6: Final answer
    x = 70,449.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.