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Finding the Fourth Proportional to 148,490, 204,916.24 and 81,423.44

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Solution

The fourth proportional to 148,490, 204,916.24 and 81,423.44 is: 112,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,490 : 204,916.24 = 81,423.44 : x
  2. Step 2: Convert to fraction form
    148,490/204,916.24 = 81,423.44/x
  3. Step 3: Cross multiply
    148,490x = 204,916.24 × 81,423.44
  4. Step 4: Simplify right side
    148,490x = 16,684,985,172.67
  5. Step 5: Solve for x
    x = 16,684,985,172.67/148,490
  6. Step 6: Final answer
    x = 112,364.37

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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.