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Finding the Fourth Proportional to 159,490.64, 239,057.16 and 64,698.80

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Solution

The fourth proportional to 159,490.64, 239,057.16 and 64,698.80 is: 96,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,490.64 : 239,057.16 = 64,698.80 : x
  2. Step 2: Convert to fraction form
    159,490.64/239,057.16 = 64,698.80/x
  3. Step 3: Cross multiply
    159,490.64x = 239,057.16 × 64,698.80
  4. Step 4: Simplify right side
    159,490.64x = 15,466,711,383.41
  5. Step 5: Solve for x
    x = 15,466,711,383.41/159,490.64
  6. Step 6: Final answer
    x = 96,975.67

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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.