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Finding the Fourth Proportional to 185,448.84, 278,074.44 and 85,557.48

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Solution

The fourth proportional to 185,448.84, 278,074.44 and 85,557.48 is: 128,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,448.84 : 278,074.44 = 85,557.48 : x
  2. Step 2: Convert to fraction form
    185,448.84/278,074.44 = 85,557.48/x
  3. Step 3: Cross multiply
    185,448.84x = 278,074.44 × 85,557.48
  4. Step 4: Simplify right side
    185,448.84x = 23,791,348,338.81
  5. Step 5: Solve for x
    x = 23,791,348,338.81/185,448.84
  6. Step 6: Final answer
    x = 128,290.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.