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Finding the Fourth Proportional to 74,088, 102,243.06 and 40,554

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Solution

The fourth proportional to 74,088, 102,243.06 and 40,554 is: 55,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,088 : 102,243.06 = 40,554 : x
  2. Step 2: Convert to fraction form
    74,088/102,243.06 = 40,554/x
  3. Step 3: Cross multiply
    74,088x = 102,243.06 × 40,554
  4. Step 4: Simplify right side
    74,088x = 4,146,365,055.24
  5. Step 5: Solve for x
    x = 4,146,365,055.24/74,088
  6. Step 6: Final answer
    x = 55,965.41

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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.