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Finding the Fourth Proportional to 74,100.09, 102,258 and 40,108.56

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Solution

The fourth proportional to 74,100.09, 102,258 and 40,108.56 is: 55,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,100.09 : 102,258 = 40,108.56 : x
  2. Step 2: Convert to fraction form
    74,100.09/102,258 = 40,108.56/x
  3. Step 3: Cross multiply
    74,100.09x = 102,258 × 40,108.56
  4. Step 4: Simplify right side
    74,100.09x = 4,101,421,128.48
  5. Step 5: Solve for x
    x = 4,101,421,128.48/74,100.09
  6. Step 6: Final answer
    x = 55,349.75

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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.