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Finding the Fourth Proportional to 117,279.42, 161,914.95 and 77,063.58

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Solution

The fourth proportional to 117,279.42, 161,914.95 and 77,063.58 is: 106,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,279.42 : 161,914.95 = 77,063.58 : x
  2. Step 2: Convert to fraction form
    117,279.42/161,914.95 = 77,063.58/x
  3. Step 3: Cross multiply
    117,279.42x = 161,914.95 × 77,063.58
  4. Step 4: Simplify right side
    117,279.42x = 12,477,745,702.52
  5. Step 5: Solve for x
    x = 12,477,745,702.52/117,279.42
  6. Step 6: Final answer
    x = 106,393.31

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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.