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Finding the Fourth Proportional to 98,388.16, 147,660.90 and 51,016.72

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Solution

The fourth proportional to 98,388.16, 147,660.90 and 51,016.72 is: 76,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,388.16 : 147,660.90 = 51,016.72 : x
  2. Step 2: Convert to fraction form
    98,388.16/147,660.90 = 51,016.72/x
  3. Step 3: Cross multiply
    98,388.16x = 147,660.90 × 51,016.72
  4. Step 4: Simplify right side
    98,388.16x = 7,533,174,790.25
  5. Step 5: Solve for x
    x = 7,533,174,790.25/98,388.16
  6. Step 6: Final answer
    x = 76,565.87

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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.