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Finding the Fourth Proportional to 154,693.32, 213,463.74 and 85,784.76

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Solution

The fourth proportional to 154,693.32, 213,463.74 and 85,784.76 is: 118,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,693.32 : 213,463.74 = 85,784.76 : x
  2. Step 2: Convert to fraction form
    154,693.32/213,463.74 = 85,784.76/x
  3. Step 3: Cross multiply
    154,693.32x = 213,463.74 × 85,784.76
  4. Step 4: Simplify right side
    154,693.32x = 18,311,935,704.60
  5. Step 5: Solve for x
    x = 18,311,935,704.60/154,693.32
  6. Step 6: Final answer
    x = 118,375.74

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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.