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Finding the Fourth Proportional to 98,434.45, 135,839.54 and 53,722.45

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Solution

The fourth proportional to 98,434.45, 135,839.54 and 53,722.45 is: 74,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,434.45 : 135,839.54 = 53,722.45 : x
  2. Step 2: Convert to fraction form
    98,434.45/135,839.54 = 53,722.45/x
  3. Step 3: Cross multiply
    98,434.45x = 135,839.54 × 53,722.45
  4. Step 4: Simplify right side
    98,434.45x = 7,297,632,895.67
  5. Step 5: Solve for x
    x = 7,297,632,895.67/98,434.45
  6. Step 6: Final answer
    x = 74,136.98

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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.