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Finding the Fourth Proportional to 154,613.80, 231,888.30 and 75,784.60

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Solution

The fourth proportional to 154,613.80, 231,888.30 and 75,784.60 is: 113,661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,613.80 : 231,888.30 = 75,784.60 : x
  2. Step 2: Convert to fraction form
    154,613.80/231,888.30 = 75,784.60/x
  3. Step 3: Cross multiply
    154,613.80x = 231,888.30 × 75,784.60
  4. Step 4: Simplify right side
    154,613.80x = 17,573,562,060.18
  5. Step 5: Solve for x
    x = 17,573,562,060.18/154,613.80
  6. Step 6: Final answer
    x = 113,661.02

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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.