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Finding the Fourth Proportional to 76,988, 106,243.76 and 41,660

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Solution

The fourth proportional to 76,988, 106,243.76 and 41,660 is: 57,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,988 : 106,243.76 = 41,660 : x
  2. Step 2: Convert to fraction form
    76,988/106,243.76 = 41,660/x
  3. Step 3: Cross multiply
    76,988x = 106,243.76 × 41,660
  4. Step 4: Simplify right side
    76,988x = 4,426,115,041.60
  5. Step 5: Solve for x
    x = 4,426,115,041.60/76,988
  6. Step 6: Final answer
    x = 57,490.97

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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.