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Finding the Fourth Proportional to 76,206.54, 105,192.63 and 62,034.78

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Solution

The fourth proportional to 76,206.54, 105,192.63 and 62,034.78 is: 85,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,206.54 : 105,192.63 = 62,034.78 : x
  2. Step 2: Convert to fraction form
    76,206.54/105,192.63 = 62,034.78/x
  3. Step 3: Cross multiply
    76,206.54x = 105,192.63 × 62,034.78
  4. Step 4: Simplify right side
    76,206.54x = 6,525,601,659.67
  5. Step 5: Solve for x
    x = 6,525,601,659.67/76,206.54
  6. Step 6: Final answer
    x = 85,630.47

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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.