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Finding the Fourth Proportional to 266,159.86, 398,907.56 and 133,078.19

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Solution

The fourth proportional to 266,159.86, 398,907.56 and 133,078.19 is: 199,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,159.86 : 398,907.56 = 133,078.19 : x
  2. Step 2: Convert to fraction form
    266,159.86/398,907.56 = 133,078.19/x
  3. Step 3: Cross multiply
    266,159.86x = 398,907.56 × 133,078.19
  4. Step 4: Simplify right side
    266,159.86x = 53,085,894,400.27
  5. Step 5: Solve for x
    x = 53,085,894,400.27/266,159.86
  6. Step 6: Final answer
    x = 199,451.17

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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.