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Finding the Fourth Proportional to 133,531.20, 200,005.20 and 103,715.10

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Solution

The fourth proportional to 133,531.20, 200,005.20 and 103,715.10 is: 155,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,531.20 : 200,005.20 = 103,715.10 : x
  2. Step 2: Convert to fraction form
    133,531.20/200,005.20 = 103,715.10/x
  3. Step 3: Cross multiply
    133,531.20x = 200,005.20 × 103,715.10
  4. Step 4: Simplify right side
    133,531.20x = 20,743,559,318.52
  5. Step 5: Solve for x
    x = 20,743,559,318.52/133,531.20
  6. Step 6: Final answer
    x = 155,346.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.