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Finding the Fourth Proportional to 74,418, 102,697.56 and 40,884.72

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Solution

The fourth proportional to 74,418, 102,697.56 and 40,884.72 is: 56,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,418 : 102,697.56 = 40,884.72 : x
  2. Step 2: Convert to fraction form
    74,418/102,697.56 = 40,884.72/x
  3. Step 3: Cross multiply
    74,418x = 102,697.56 × 40,884.72
  4. Step 4: Simplify right side
    74,418x = 4,198,760,985.28
  5. Step 5: Solve for x
    x = 4,198,760,985.28/74,418
  6. Step 6: Final answer
    x = 56,421.31

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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.