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Finding the Fourth Proportional to 122,274.20, 183,411.30 and 86,844.80

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Solution

The fourth proportional to 122,274.20, 183,411.30 and 86,844.80 is: 130,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,274.20 : 183,411.30 = 86,844.80 : x
  2. Step 2: Convert to fraction form
    122,274.20/183,411.30 = 86,844.80/x
  3. Step 3: Cross multiply
    122,274.20x = 183,411.30 × 86,844.80
  4. Step 4: Simplify right side
    122,274.20x = 15,928,317,666.24
  5. Step 5: Solve for x
    x = 15,928,317,666.24/122,274.20
  6. Step 6: Final answer
    x = 130,267.20

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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.