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Finding the Fourth Proportional to 201,909.78, 278,637.33 and 111,269.00

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Solution

The fourth proportional to 201,909.78, 278,637.33 and 111,269.00 is: 153,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,909.78 : 278,637.33 = 111,269.00 : x
  2. Step 2: Convert to fraction form
    201,909.78/278,637.33 = 111,269.00/x
  3. Step 3: Cross multiply
    201,909.78x = 278,637.33 × 111,269.00
  4. Step 4: Simplify right side
    201,909.78x = 31,003,695,678.58
  5. Step 5: Solve for x
    x = 31,003,695,678.58/201,909.78
  6. Step 6: Final answer
    x = 153,552.22

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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.