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Finding the Fourth Proportional to 201,870.64, 278,693.22 and 121,317.76

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Solution

The fourth proportional to 201,870.64, 278,693.22 and 121,317.76 is: 167,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,870.64 : 278,693.22 = 121,317.76 : x
  2. Step 2: Convert to fraction form
    201,870.64/278,693.22 = 121,317.76/x
  3. Step 3: Cross multiply
    201,870.64x = 278,693.22 × 121,317.76
  4. Step 4: Simplify right side
    201,870.64x = 33,810,437,177.59
  5. Step 5: Solve for x
    x = 33,810,437,177.59/201,870.64
  6. Step 6: Final answer
    x = 167,485.66

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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.