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Finding the Fourth Proportional to 74,359, 102,617.04 and 40,825

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Solution

The fourth proportional to 74,359, 102,617.04 and 40,825 is: 56,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,359 : 102,617.04 = 40,825 : x
  2. Step 2: Convert to fraction form
    74,359/102,617.04 = 40,825/x
  3. Step 3: Cross multiply
    74,359x = 102,617.04 × 40,825
  4. Step 4: Simplify right side
    74,359x = 4,189,340,658.00
  5. Step 5: Solve for x
    x = 4,189,340,658.00/74,359
  6. Step 6: Final answer
    x = 56,339.39

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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.