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Finding the Fourth Proportional to 122,527.60, 183,796.80 and 69,218.80

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Solution

The fourth proportional to 122,527.60, 183,796.80 and 69,218.80 is: 103,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,527.60 : 183,796.80 = 69,218.80 : x
  2. Step 2: Convert to fraction form
    122,527.60/183,796.80 = 69,218.80/x
  3. Step 3: Cross multiply
    122,527.60x = 183,796.80 × 69,218.80
  4. Step 4: Simplify right side
    122,527.60x = 12,722,193,939.84
  5. Step 5: Solve for x
    x = 12,722,193,939.84/122,527.60
  6. Step 6: Final answer
    x = 103,831.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.