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Finding the Fourth Proportional to 208,513.08, 313,268.16 and 133,780.02

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Solution

The fourth proportional to 208,513.08, 313,268.16 and 133,780.02 is: 200,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,513.08 : 313,268.16 = 133,780.02 : x
  2. Step 2: Convert to fraction form
    208,513.08/313,268.16 = 133,780.02/x
  3. Step 3: Cross multiply
    208,513.08x = 313,268.16 × 133,780.02
  4. Step 4: Simplify right side
    208,513.08x = 41,909,020,710.16
  5. Step 5: Solve for x
    x = 41,909,020,710.16/208,513.08
  6. Step 6: Final answer
    x = 200,989.89

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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.