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Finding the Fourth Proportional to 98,542.68, 147,835.62 and 31,989.48

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Solution

The fourth proportional to 98,542.68, 147,835.62 and 31,989.48 is: 47,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,542.68 : 147,835.62 = 31,989.48 : x
  2. Step 2: Convert to fraction form
    98,542.68/147,835.62 = 31,989.48/x
  3. Step 3: Cross multiply
    98,542.68x = 147,835.62 × 31,989.48
  4. Step 4: Simplify right side
    98,542.68x = 4,729,184,609.28
  5. Step 5: Solve for x
    x = 4,729,184,609.28/98,542.68
  6. Step 6: Final answer
    x = 47,991.23

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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.