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Finding the Fourth Proportional to 122,718.36, 169,298.46 and 77,360.52

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Solution

The fourth proportional to 122,718.36, 169,298.46 and 77,360.52 is: 106,724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,718.36 : 169,298.46 = 77,360.52 : x
  2. Step 2: Convert to fraction form
    122,718.36/169,298.46 = 77,360.52/x
  3. Step 3: Cross multiply
    122,718.36x = 169,298.46 × 77,360.52
  4. Step 4: Simplify right side
    122,718.36x = 13,097,016,900.80
  5. Step 5: Solve for x
    x = 13,097,016,900.80/122,718.36
  6. Step 6: Final answer
    x = 106,724.18

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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.