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Finding the Fourth Proportional to 154,782.60, 231,785.10 and 101,905.80

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Solution

The fourth proportional to 154,782.60, 231,785.10 and 101,905.80 is: 152,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,782.60 : 231,785.10 = 101,905.80 : x
  2. Step 2: Convert to fraction form
    154,782.60/231,785.10 = 101,905.80/x
  3. Step 3: Cross multiply
    154,782.60x = 231,785.10 × 101,905.80
  4. Step 4: Simplify right side
    154,782.60x = 23,620,246,043.58
  5. Step 5: Solve for x
    x = 23,620,246,043.58/154,782.60
  6. Step 6: Final answer
    x = 152,602.72

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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.