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Finding the Fourth Proportional to 242,329.86, 363,387.87 and 129,976.38

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Solution

The fourth proportional to 242,329.86, 363,387.87 and 129,976.38 is: 194,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,329.86 : 363,387.87 = 129,976.38 : x
  2. Step 2: Convert to fraction form
    242,329.86/363,387.87 = 129,976.38/x
  3. Step 3: Cross multiply
    242,329.86x = 363,387.87 × 129,976.38
  4. Step 4: Simplify right side
    242,329.86x = 47,231,839,878.51
  5. Step 5: Solve for x
    x = 47,231,839,878.51/242,329.86
  6. Step 6: Final answer
    x = 194,907.22

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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.