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Finding the Fourth Proportional to 122,893.32, 169,698.06 and 77,649.96

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Solution

The fourth proportional to 122,893.32, 169,698.06 and 77,649.96 is: 107,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,893.32 : 169,698.06 = 77,649.96 : x
  2. Step 2: Convert to fraction form
    122,893.32/169,698.06 = 77,649.96/x
  3. Step 3: Cross multiply
    122,893.32x = 169,698.06 × 77,649.96
  4. Step 4: Simplify right side
    122,893.32x = 13,177,047,571.08
  5. Step 5: Solve for x
    x = 13,177,047,571.08/122,893.32
  6. Step 6: Final answer
    x = 107,223.46

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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.