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Finding the Fourth Proportional to 208,904.80, 313,357.20 and 159,138.40

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Solution

The fourth proportional to 208,904.80, 313,357.20 and 159,138.40 is: 238,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,904.80 : 313,357.20 = 159,138.40 : x
  2. Step 2: Convert to fraction form
    208,904.80/313,357.20 = 159,138.40/x
  3. Step 3: Cross multiply
    208,904.80x = 313,357.20 × 159,138.40
  4. Step 4: Simplify right side
    208,904.80x = 49,867,163,436.48
  5. Step 5: Solve for x
    x = 49,867,163,436.48/208,904.80
  6. Step 6: Final answer
    x = 238,707.60

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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.