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Finding the Fourth Proportional to 154,835.42, 213,717.42 and 100,385.60

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Solution

The fourth proportional to 154,835.42, 213,717.42 and 100,385.60 is: 138,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,835.42 : 213,717.42 = 100,385.60 : x
  2. Step 2: Convert to fraction form
    154,835.42/213,717.42 = 100,385.60/x
  3. Step 3: Cross multiply
    154,835.42x = 213,717.42 × 100,385.60
  4. Step 4: Simplify right side
    154,835.42x = 21,454,150,368.56
  5. Step 5: Solve for x
    x = 21,454,150,368.56/154,835.42
  6. Step 6: Final answer
    x = 138,561.00

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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.