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Finding the Fourth Proportional to 154,873.76, 213,724.80 and 85,962.48

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Solution

The fourth proportional to 154,873.76, 213,724.80 and 85,962.48 is: 118,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,873.76 : 213,724.80 = 85,962.48 : x
  2. Step 2: Convert to fraction form
    154,873.76/213,724.80 = 85,962.48/x
  3. Step 3: Cross multiply
    154,873.76x = 213,724.80 × 85,962.48
  4. Step 4: Simplify right side
    154,873.76x = 18,372,313,845.50
  5. Step 5: Solve for x
    x = 18,372,313,845.50/154,873.76
  6. Step 6: Final answer
    x = 118,627.67

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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.