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Finding the Fourth Proportional to 100,774.28, 139,022.01 and 64,975.84

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Solution

The fourth proportional to 100,774.28, 139,022.01 and 64,975.84 is: 89,636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,774.28 : 139,022.01 = 64,975.84 : x
  2. Step 2: Convert to fraction form
    100,774.28/139,022.01 = 64,975.84/x
  3. Step 3: Cross multiply
    100,774.28x = 139,022.01 × 64,975.84
  4. Step 4: Simplify right side
    100,774.28x = 9,033,071,530.68
  5. Step 5: Solve for x
    x = 9,033,071,530.68/100,774.28
  6. Step 6: Final answer
    x = 89,636.67

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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.