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Finding the Fourth Proportional to 98,546.40, 147,841.20 and 31,975.20

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Solution

The fourth proportional to 98,546.40, 147,841.20 and 31,975.20 is: 47,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,546.40 : 147,841.20 = 31,975.20 : x
  2. Step 2: Convert to fraction form
    98,546.40/147,841.20 = 31,975.20/x
  3. Step 3: Cross multiply
    98,546.40x = 147,841.20 × 31,975.20
  4. Step 4: Simplify right side
    98,546.40x = 4,727,251,938.24
  5. Step 5: Solve for x
    x = 4,727,251,938.24/98,546.40
  6. Step 6: Final answer
    x = 47,969.81

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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.