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Finding the Fourth Proportional to 100,808.46, 138,815.39 and 98,570.82

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Solution

The fourth proportional to 100,808.46, 138,815.39 and 98,570.82 is: 135,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,808.46 : 138,815.39 = 98,570.82 : x
  2. Step 2: Convert to fraction form
    100,808.46/138,815.39 = 98,570.82/x
  3. Step 3: Cross multiply
    100,808.46x = 138,815.39 × 98,570.82
  4. Step 4: Simplify right side
    100,808.46x = 13,683,146,328.07
  5. Step 5: Solve for x
    x = 13,683,146,328.07/100,808.46
  6. Step 6: Final answer
    x = 135,734.11

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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.