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Finding the Fourth Proportional to 74,199, 102,394.62 and 40,665

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Solution

The fourth proportional to 74,199, 102,394.62 and 40,665 is: 56,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,199 : 102,394.62 = 40,665 : x
  2. Step 2: Convert to fraction form
    74,199/102,394.62 = 40,665/x
  3. Step 3: Cross multiply
    74,199x = 102,394.62 × 40,665
  4. Step 4: Simplify right side
    74,199x = 4,163,877,222.30
  5. Step 5: Solve for x
    x = 4,163,877,222.30/74,199
  6. Step 6: Final answer
    x = 56,117.70

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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.