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Finding the Fourth Proportional to 98,199.54, 147,299.40 and 31,649.58

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Solution

The fourth proportional to 98,199.54, 147,299.40 and 31,649.58 is: 47,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,199.54 : 147,299.40 = 31,649.58 : x
  2. Step 2: Convert to fraction form
    98,199.54/147,299.40 = 31,649.58/x
  3. Step 3: Cross multiply
    98,199.54x = 147,299.40 × 31,649.58
  4. Step 4: Simplify right side
    98,199.54x = 4,661,964,144.25
  5. Step 5: Solve for x
    x = 4,661,964,144.25/98,199.54
  6. Step 6: Final answer
    x = 47,474.40

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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.