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Finding the Fourth Proportional to 98,272.49, 135,619.67 and 55,838.21

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Solution

The fourth proportional to 98,272.49, 135,619.67 and 55,838.21 is: 77,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,272.49 : 135,619.67 = 55,838.21 : x
  2. Step 2: Convert to fraction form
    98,272.49/135,619.67 = 55,838.21/x
  3. Step 3: Cross multiply
    98,272.49x = 135,619.67 × 55,838.21
  4. Step 4: Simplify right side
    98,272.49x = 7,572,759,613.59
  5. Step 5: Solve for x
    x = 7,572,759,613.59/98,272.49
  6. Step 6: Final answer
    x = 77,058.79

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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.