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Finding the Fourth Proportional to 76,262.78, 105,242.45 and 41,807.45

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Solution

The fourth proportional to 76,262.78, 105,242.45 and 41,807.45 is: 57,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,262.78 : 105,242.45 = 41,807.45 : x
  2. Step 2: Convert to fraction form
    76,262.78/105,242.45 = 41,807.45/x
  3. Step 3: Cross multiply
    76,262.78x = 105,242.45 × 41,807.45
  4. Step 4: Simplify right side
    76,262.78x = 4,399,918,252.20
  5. Step 5: Solve for x
    x = 4,399,918,252.20/76,262.78
  6. Step 6: Final answer
    x = 57,694.18

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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.