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Finding the Fourth Proportional to 74,122.89, 102,301.62 and 45,458.49

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Solution

The fourth proportional to 74,122.89, 102,301.62 and 45,458.49 is: 62,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,122.89 : 102,301.62 = 45,458.49 : x
  2. Step 2: Convert to fraction form
    74,122.89/102,301.62 = 45,458.49/x
  3. Step 3: Cross multiply
    74,122.89x = 102,301.62 × 45,458.49
  4. Step 4: Simplify right side
    74,122.89x = 4,650,477,169.75
  5. Step 5: Solve for x
    x = 4,650,477,169.75/74,122.89
  6. Step 6: Final answer
    x = 62,740.10

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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.