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Finding the Fourth Proportional to 133,986.60, 200,807.10 and 102,666.60

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Solution

The fourth proportional to 133,986.60, 200,807.10 and 102,666.60 is: 153,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,986.60 : 200,807.10 = 102,666.60 : x
  2. Step 2: Convert to fraction form
    133,986.60/200,807.10 = 102,666.60/x
  3. Step 3: Cross multiply
    133,986.60x = 200,807.10 × 102,666.60
  4. Step 4: Simplify right side
    133,986.60x = 20,616,182,212.86
  5. Step 5: Solve for x
    x = 20,616,182,212.86/133,986.60
  6. Step 6: Final answer
    x = 153,867.49

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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.