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Finding the Fourth Proportional to 150,492.84, 207,680.13 and 81,582.54

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Solution

The fourth proportional to 150,492.84, 207,680.13 and 81,582.54 is: 112,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,492.84 : 207,680.13 = 81,582.54 : x
  2. Step 2: Convert to fraction form
    150,492.84/207,680.13 = 81,582.54/x
  3. Step 3: Cross multiply
    150,492.84x = 207,680.13 × 81,582.54
  4. Step 4: Simplify right side
    150,492.84x = 16,943,072,512.93
  5. Step 5: Solve for x
    x = 16,943,072,512.93/150,492.84
  6. Step 6: Final answer
    x = 112,583.91

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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.