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Finding the Fourth Proportional to 76,440.66, 105,489.50 and 41,985.16

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Solution

The fourth proportional to 76,440.66, 105,489.50 and 41,985.16 is: 57,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,440.66 : 105,489.50 = 41,985.16 : x
  2. Step 2: Convert to fraction form
    76,440.66/105,489.50 = 41,985.16/x
  3. Step 3: Cross multiply
    76,440.66x = 105,489.50 × 41,985.16
  4. Step 4: Simplify right side
    76,440.66x = 4,428,993,654.07
  5. Step 5: Solve for x
    x = 4,428,993,654.07/76,440.66
  6. Step 6: Final answer
    x = 57,940.28

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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.