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Finding the Fourth Proportional to 98,212.80, 147,320.44 and 31,653.28

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Solution

The fourth proportional to 98,212.80, 147,320.44 and 31,653.28 is: 47,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,212.80 : 147,320.44 = 31,653.28 : x
  2. Step 2: Convert to fraction form
    98,212.80/147,320.44 = 31,653.28/x
  3. Step 3: Cross multiply
    98,212.80x = 147,320.44 × 31,653.28
  4. Step 4: Simplify right side
    98,212.80x = 4,663,175,137.04
  5. Step 5: Solve for x
    x = 4,663,175,137.04/98,212.80
  6. Step 6: Final answer
    x = 47,480.32

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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.