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Finding the Fourth Proportional to 117,478, 162,254.22 and 77,371

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Solution

The fourth proportional to 117,478, 162,254.22 and 77,371 is: 106,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,478 : 162,254.22 = 77,371 : x
  2. Step 2: Convert to fraction form
    117,478/162,254.22 = 77,371/x
  3. Step 3: Cross multiply
    117,478x = 162,254.22 × 77,371
  4. Step 4: Simplify right side
    117,478x = 12,553,771,255.62
  5. Step 5: Solve for x
    x = 12,553,771,255.62/117,478
  6. Step 6: Final answer
    x = 106,860.61

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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.