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Finding the Fourth Proportional to 162,578.97, 243,946.22 and 57,447.45

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Solution

The fourth proportional to 162,578.97, 243,946.22 and 57,447.45 is: 86,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,578.97 : 243,946.22 = 57,447.45 : x
  2. Step 2: Convert to fraction form
    162,578.97/243,946.22 = 57,447.45/x
  3. Step 3: Cross multiply
    162,578.97x = 243,946.22 × 57,447.45
  4. Step 4: Simplify right side
    162,578.97x = 14,014,087,988.90
  5. Step 5: Solve for x
    x = 14,014,087,988.90/162,578.97
  6. Step 6: Final answer
    x = 86,198.65

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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.