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Finding the Fourth Proportional to 74,556.88, 102,885.42 and 40,565.50

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Solution

The fourth proportional to 74,556.88, 102,885.42 and 40,565.50 is: 55,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,556.88 : 102,885.42 = 40,565.50 : x
  2. Step 2: Convert to fraction form
    74,556.88/102,885.42 = 40,565.50/x
  3. Step 3: Cross multiply
    74,556.88x = 102,885.42 × 40,565.50
  4. Step 4: Simplify right side
    74,556.88x = 4,173,598,564.03
  5. Step 5: Solve for x
    x = 4,173,598,564.03/74,556.88
  6. Step 6: Final answer
    x = 55,978.72

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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.