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Finding the Fourth Proportional to 148,491, 204,927.36 and 81,423

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Solution

The fourth proportional to 148,491, 204,927.36 and 81,423 is: 112,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,491 : 204,927.36 = 81,423 : x
  2. Step 2: Convert to fraction form
    148,491/204,927.36 = 81,423/x
  3. Step 3: Cross multiply
    148,491x = 204,927.36 × 81,423
  4. Step 4: Simplify right side
    148,491x = 16,685,800,433.28
  5. Step 5: Solve for x
    x = 16,685,800,433.28/148,491
  6. Step 6: Final answer
    x = 112,369.10

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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.