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Finding the Fourth Proportional to 98,163.78, 147,259.60 and 31,588.44

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Solution

The fourth proportional to 98,163.78, 147,259.60 and 31,588.44 is: 47,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,163.78 : 147,259.60 = 31,588.44 : x
  2. Step 2: Convert to fraction form
    98,163.78/147,259.60 = 31,588.44/x
  3. Step 3: Cross multiply
    98,163.78x = 147,259.60 × 31,588.44
  4. Step 4: Simplify right side
    98,163.78x = 4,651,701,039.02
  5. Step 5: Solve for x
    x = 4,651,701,039.02/98,163.78
  6. Step 6: Final answer
    x = 47,387.14

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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.