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Finding the Fourth Proportional to 100,902.96, 139,246.10 and 58,486.10

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Solution

The fourth proportional to 100,902.96, 139,246.10 and 58,486.10 is: 80,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,902.96 : 139,246.10 = 58,486.10 : x
  2. Step 2: Convert to fraction form
    100,902.96/139,246.10 = 58,486.10/x
  3. Step 3: Cross multiply
    100,902.96x = 139,246.10 × 58,486.10
  4. Step 4: Simplify right side
    100,902.96x = 8,143,961,329.21
  5. Step 5: Solve for x
    x = 8,143,961,329.21/100,902.96
  6. Step 6: Final answer
    x = 80,710.83

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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.