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Finding the Fourth Proportional to 98,165.78, 147,262.60 and 31,590.44

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Solution

The fourth proportional to 98,165.78, 147,262.60 and 31,590.44 is: 47,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,165.78 : 147,262.60 = 31,590.44 : x
  2. Step 2: Convert to fraction form
    98,165.78/147,262.60 = 31,590.44/x
  3. Step 3: Cross multiply
    98,165.78x = 147,262.60 × 31,590.44
  4. Step 4: Simplify right side
    98,165.78x = 4,652,090,329.54
  5. Step 5: Solve for x
    x = 4,652,090,329.54/98,165.78
  6. Step 6: Final answer
    x = 47,390.14

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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.