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Finding the Fourth Proportional to 117,348.91, 161,899.04 and 77,084.59

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Solution

The fourth proportional to 117,348.91, 161,899.04 and 77,084.59 is: 106,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,348.91 : 161,899.04 = 77,084.59 : x
  2. Step 2: Convert to fraction form
    117,348.91/161,899.04 = 77,084.59/x
  3. Step 3: Cross multiply
    117,348.91x = 161,899.04 × 77,084.59
  4. Step 4: Simplify right side
    117,348.91x = 12,479,920,310.30
  5. Step 5: Solve for x
    x = 12,479,920,310.30/117,348.91
  6. Step 6: Final answer
    x = 106,348.84

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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.