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Finding the Fourth Proportional to 159,465.54, 239,227.74 and 65,978.58

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Solution

The fourth proportional to 159,465.54, 239,227.74 and 65,978.58 is: 98,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,465.54 : 239,227.74 = 65,978.58 : x
  2. Step 2: Convert to fraction form
    159,465.54/239,227.74 = 65,978.58/x
  3. Step 3: Cross multiply
    159,465.54x = 239,227.74 × 65,978.58
  4. Step 4: Simplify right side
    159,465.54x = 15,783,906,581.81
  5. Step 5: Solve for x
    x = 15,783,906,581.81/159,465.54
  6. Step 6: Final answer
    x = 98,980.05

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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.