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Finding the Fourth Proportional to 208,521.08, 313,280.16 and 133,788.02

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Solution

The fourth proportional to 208,521.08, 313,280.16 and 133,788.02 is: 201,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,521.08 : 313,280.16 = 133,788.02 : x
  2. Step 2: Convert to fraction form
    208,521.08/313,280.16 = 133,788.02/x
  3. Step 3: Cross multiply
    208,521.08x = 313,280.16 × 133,788.02
  4. Step 4: Simplify right side
    208,521.08x = 41,913,132,311.68
  5. Step 5: Solve for x
    x = 41,913,132,311.68/208,521.08
  6. Step 6: Final answer
    x = 201,001.90

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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.