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Finding the Fourth Proportional to 98,633.31, 135,954.03 and 77,085

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Solution

The fourth proportional to 98,633.31, 135,954.03 and 77,085 is: 106,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,633.31 : 135,954.03 = 77,085 : x
  2. Step 2: Convert to fraction form
    98,633.31/135,954.03 = 77,085/x
  3. Step 3: Cross multiply
    98,633.31x = 135,954.03 × 77,085
  4. Step 4: Simplify right side
    98,633.31x = 10,480,016,402.55
  5. Step 5: Solve for x
    x = 10,480,016,402.55/98,633.31
  6. Step 6: Final answer
    x = 106,252.30

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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.