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Finding the Fourth Proportional to 148,492.80, 204,916.32 and 81,424.80

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Solution

The fourth proportional to 148,492.80, 204,916.32 and 81,424.80 is: 112,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,492.80 : 204,916.32 = 81,424.80 : x
  2. Step 2: Convert to fraction form
    148,492.80/204,916.32 = 81,424.80/x
  3. Step 3: Cross multiply
    148,492.80x = 204,916.32 × 81,424.80
  4. Step 4: Simplify right side
    148,492.80x = 16,685,270,372.74
  5. Step 5: Solve for x
    x = 16,685,270,372.74/148,492.80
  6. Step 6: Final answer
    x = 112,364.17

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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.