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Finding the Fourth Proportional to 100,902.82, 139,096.41 and 64,599.08

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Solution

The fourth proportional to 100,902.82, 139,096.41 and 64,599.08 is: 89,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,902.82 : 139,096.41 = 64,599.08 : x
  2. Step 2: Convert to fraction form
    100,902.82/139,096.41 = 64,599.08/x
  3. Step 3: Cross multiply
    100,902.82x = 139,096.41 × 64,599.08
  4. Step 4: Simplify right side
    100,902.82x = 8,985,499,179.57
  5. Step 5: Solve for x
    x = 8,985,499,179.57/100,902.82
  6. Step 6: Final answer
    x = 89,051.02

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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.