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Finding the Fourth Proportional to 209,492.64, 289,105.92 and 114,005.50

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Solution

The fourth proportional to 209,492.64, 289,105.92 and 114,005.50 is: 157,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,492.64 : 289,105.92 = 114,005.50 : x
  2. Step 2: Convert to fraction form
    209,492.64/289,105.92 = 114,005.50/x
  3. Step 3: Cross multiply
    209,492.64x = 289,105.92 × 114,005.50
  4. Step 4: Simplify right side
    209,492.64x = 32,959,664,962.56
  5. Step 5: Solve for x
    x = 32,959,664,962.56/209,492.64
  6. Step 6: Final answer
    x = 157,330.90

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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.