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Finding the Fourth Proportional to 76,838.70, 105,999.72 and 51,351.33

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Solution

The fourth proportional to 76,838.70, 105,999.72 and 51,351.33 is: 70,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,838.70 : 105,999.72 = 51,351.33 : x
  2. Step 2: Convert to fraction form
    76,838.70/105,999.72 = 51,351.33/x
  3. Step 3: Cross multiply
    76,838.70x = 105,999.72 × 51,351.33
  4. Step 4: Simplify right side
    76,838.70x = 5,443,226,601.63
  5. Step 5: Solve for x
    x = 5,443,226,601.63/76,838.70
  6. Step 6: Final answer
    x = 70,839.65

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1.5x scale

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.