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Finding the Fourth Proportional to 73,974, 102,084.12 and 40,440

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Solution

The fourth proportional to 73,974, 102,084.12 and 40,440 is: 55,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,974 : 102,084.12 = 40,440 : x
  2. Step 2: Convert to fraction form
    73,974/102,084.12 = 40,440/x
  3. Step 3: Cross multiply
    73,974x = 102,084.12 × 40,440
  4. Step 4: Simplify right side
    73,974x = 4,128,281,812.80
  5. Step 5: Solve for x
    x = 4,128,281,812.80/73,974
  6. Step 6: Final answer
    x = 55,807.20

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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.