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Finding the Fourth Proportional to 98,424, 147,636 and 31,919.76

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Solution

The fourth proportional to 98,424, 147,636 and 31,919.76 is: 47,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,424 : 147,636 = 31,919.76 : x
  2. Step 2: Convert to fraction form
    98,424/147,636 = 31,919.76/x
  3. Step 3: Cross multiply
    98,424x = 147,636 × 31,919.76
  4. Step 4: Simplify right side
    98,424x = 4,712,505,687.36
  5. Step 5: Solve for x
    x = 4,712,505,687.36/98,424
  6. Step 6: Final answer
    x = 47,879.64

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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.