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Finding the Fourth Proportional to 133,513.20, 199,978.20 and 103,697.10

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Solution

The fourth proportional to 133,513.20, 199,978.20 and 103,697.10 is: 155,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,513.20 : 199,978.20 = 103,697.10 : x
  2. Step 2: Convert to fraction form
    133,513.20/199,978.20 = 103,697.10/x
  3. Step 3: Cross multiply
    133,513.20x = 199,978.20 × 103,697.10
  4. Step 4: Simplify right side
    133,513.20x = 20,737,159,403.22
  5. Step 5: Solve for x
    x = 20,737,159,403.22/133,513.20
  6. Step 6: Final answer
    x = 155,319.17

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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.