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Finding the Fourth Proportional to 274,006.86, 378,127.89 and 153,147.93

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Solution

The fourth proportional to 274,006.86, 378,127.89 and 153,147.93 is: 211,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,006.86 : 378,127.89 = 153,147.93 : x
  2. Step 2: Convert to fraction form
    274,006.86/378,127.89 = 153,147.93/x
  3. Step 3: Cross multiply
    274,006.86x = 378,127.89 × 153,147.93
  4. Step 4: Simplify right side
    274,006.86x = 57,909,503,628.77
  5. Step 5: Solve for x
    x = 57,909,503,628.77/274,006.86
  6. Step 6: Final answer
    x = 211,343.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.