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Finding the Fourth Proportional to 98,433.45, 135,838.16 and 53,721.45

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Solution

The fourth proportional to 98,433.45, 135,838.16 and 53,721.45 is: 74,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,433.45 : 135,838.16 = 53,721.45 : x
  2. Step 2: Convert to fraction form
    98,433.45/135,838.16 = 53,721.45/x
  3. Step 3: Cross multiply
    98,433.45x = 135,838.16 × 53,721.45
  4. Step 4: Simplify right side
    98,433.45x = 7,297,422,920.53
  5. Step 5: Solve for x
    x = 7,297,422,920.53/98,433.45
  6. Step 6: Final answer
    x = 74,135.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.