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Finding the Fourth Proportional to 98,419.25, 147,652.29 and 31,859.39

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Solution

The fourth proportional to 98,419.25, 147,652.29 and 31,859.39 is: 47,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,419.25 : 147,652.29 = 31,859.39 : x
  2. Step 2: Convert to fraction form
    98,419.25/147,652.29 = 31,859.39/x
  3. Step 3: Cross multiply
    98,419.25x = 147,652.29 × 31,859.39
  4. Step 4: Simplify right side
    98,419.25x = 4,704,111,891.50
  5. Step 5: Solve for x
    x = 4,704,111,891.50/98,419.25
  6. Step 6: Final answer
    x = 47,796.66

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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.