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Finding the Fourth Proportional to 122,963.34, 169,625.22 and 77,625

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Solution

The fourth proportional to 122,963.34, 169,625.22 and 77,625 is: 107,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,963.34 : 169,625.22 = 77,625 : x
  2. Step 2: Convert to fraction form
    122,963.34/169,625.22 = 77,625/x
  3. Step 3: Cross multiply
    122,963.34x = 169,625.22 × 77,625
  4. Step 4: Simplify right side
    122,963.34x = 13,167,157,702.50
  5. Step 5: Solve for x
    x = 13,167,157,702.50/122,963.34
  6. Step 6: Final answer
    x = 107,081.98

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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.