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Finding the Fourth Proportional to 98,311.28, 147,458.72 and 50,875.28

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Solution

The fourth proportional to 98,311.28, 147,458.72 and 50,875.28 is: 76,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,311.28 : 147,458.72 = 50,875.28 : x
  2. Step 2: Convert to fraction form
    98,311.28/147,458.72 = 50,875.28/x
  3. Step 3: Cross multiply
    98,311.28x = 147,458.72 × 50,875.28
  4. Step 4: Simplify right side
    98,311.28x = 7,502,003,668.44
  5. Step 5: Solve for x
    x = 7,502,003,668.44/98,311.28
  6. Step 6: Final answer
    x = 76,308.68

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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.