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Finding the Fourth Proportional to 209,870.56, 289,612.92 and 114,375.20

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Solution

The fourth proportional to 209,870.56, 289,612.92 and 114,375.20 is: 157,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,870.56 : 289,612.92 = 114,375.20 : x
  2. Step 2: Convert to fraction form
    209,870.56/289,612.92 = 114,375.20/x
  3. Step 3: Cross multiply
    209,870.56x = 289,612.92 × 114,375.20
  4. Step 4: Simplify right side
    209,870.56x = 33,124,535,647.58
  5. Step 5: Solve for x
    x = 33,124,535,647.58/209,870.56
  6. Step 6: Final answer
    x = 157,833.17

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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.