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Finding the Fourth Proportional to 74,689.95, 103,072.10 and 40,698.42

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Solution

The fourth proportional to 74,689.95, 103,072.10 and 40,698.42 is: 56,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,689.95 : 103,072.10 = 40,698.42 : x
  2. Step 2: Convert to fraction form
    74,689.95/103,072.10 = 40,698.42/x
  3. Step 3: Cross multiply
    74,689.95x = 103,072.10 × 40,698.42
  4. Step 4: Simplify right side
    74,689.95x = 4,194,871,717.83
  5. Step 5: Solve for x
    x = 4,194,871,717.83/74,689.95
  6. Step 6: Final answer
    x = 56,163.80

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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.