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Finding the Fourth Proportional to 185,454, 278,227.62 and 85,684.80

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Solution

The fourth proportional to 185,454, 278,227.62 and 85,684.80 is: 128,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,454 : 278,227.62 = 85,684.80 : x
  2. Step 2: Convert to fraction form
    185,454/278,227.62 = 85,684.80/x
  3. Step 3: Cross multiply
    185,454x = 278,227.62 × 85,684.80
  4. Step 4: Simplify right side
    185,454x = 23,839,877,974.18
  5. Step 5: Solve for x
    x = 23,839,877,974.18/185,454
  6. Step 6: Final answer
    x = 128,548.74

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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.