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Finding the Fourth Proportional to 122,697.44, 169,272.16 and 77,360.96

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Solution

The fourth proportional to 122,697.44, 169,272.16 and 77,360.96 is: 106,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,697.44 : 169,272.16 = 77,360.96 : x
  2. Step 2: Convert to fraction form
    122,697.44/169,272.16 = 77,360.96/x
  3. Step 3: Cross multiply
    122,697.44x = 169,272.16 × 77,360.96
  4. Step 4: Simplify right side
    122,697.44x = 13,095,056,798.87
  5. Step 5: Solve for x
    x = 13,095,056,798.87/122,697.44
  6. Step 6: Final answer
    x = 106,726.41

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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.