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Finding the Fourth Proportional to 161,911.40, 242,867.10 and 102,862.40

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Solution

The fourth proportional to 161,911.40, 242,867.10 and 102,862.40 is: 154,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,911.40 : 242,867.10 = 102,862.40 : x
  2. Step 2: Convert to fraction form
    161,911.40/242,867.10 = 102,862.40/x
  3. Step 3: Cross multiply
    161,911.40x = 242,867.10 × 102,862.40
  4. Step 4: Simplify right side
    161,911.40x = 24,981,892,787.04
  5. Step 5: Solve for x
    x = 24,981,892,787.04/161,911.40
  6. Step 6: Final answer
    x = 154,293.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.