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Finding the Fourth Proportional to 201,978.61, 278,729.10 and 111,334.66

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Solution

The fourth proportional to 201,978.61, 278,729.10 and 111,334.66 is: 153,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,978.61 : 278,729.10 = 111,334.66 : x
  2. Step 2: Convert to fraction form
    201,978.61/278,729.10 = 111,334.66/x
  3. Step 3: Cross multiply
    201,978.61x = 278,729.10 × 111,334.66
  4. Step 4: Simplify right side
    201,978.61x = 31,032,208,883.78
  5. Step 5: Solve for x
    x = 31,032,208,883.78/201,978.61
  6. Step 6: Final answer
    x = 153,641.07

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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.