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Finding the Fourth Proportional to 122,527.20, 183,963.60 and 75,871.20

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Solution

The fourth proportional to 122,527.20, 183,963.60 and 75,871.20 is: 113,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,527.20 : 183,963.60 = 75,871.20 : x
  2. Step 2: Convert to fraction form
    122,527.20/183,963.60 = 75,871.20/x
  3. Step 3: Cross multiply
    122,527.20x = 183,963.60 × 75,871.20
  4. Step 4: Simplify right side
    122,527.20x = 13,957,539,088.32
  5. Step 5: Solve for x
    x = 13,957,539,088.32/122,527.20
  6. Step 6: Final answer
    x = 113,913.80

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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.