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Finding the Fourth Proportional to 202,027.61, 278,831 and 121,536.49

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Solution

The fourth proportional to 202,027.61, 278,831 and 121,536.49 is: 167,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,027.61 : 278,831 = 121,536.49 : x
  2. Step 2: Convert to fraction form
    202,027.61/278,831 = 121,536.49/x
  3. Step 3: Cross multiply
    202,027.61x = 278,831 × 121,536.49
  4. Step 4: Simplify right side
    202,027.61x = 33,888,141,043.19
  5. Step 5: Solve for x
    x = 33,888,141,043.19/202,027.61
  6. Step 6: Final answer
    x = 167,740.15

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1.5x scale

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.