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Finding the Fourth Proportional to 154,381.76, 213,086.88 and 87,352.64

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Solution

The fourth proportional to 154,381.76, 213,086.88 and 87,352.64 is: 120,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,381.76 : 213,086.88 = 87,352.64 : x
  2. Step 2: Convert to fraction form
    154,381.76/213,086.88 = 87,352.64/x
  3. Step 3: Cross multiply
    154,381.76x = 213,086.88 × 87,352.64
  4. Step 4: Simplify right side
    154,381.76x = 18,613,701,517.36
  5. Step 5: Solve for x
    x = 18,613,701,517.36/154,381.76
  6. Step 6: Final answer
    x = 120,569.31

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1.5x scale

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.