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Finding the Fourth Proportional to 133,130.55, 199,488.47 and 83,778.87

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Solution

The fourth proportional to 133,130.55, 199,488.47 and 83,778.87 is: 125,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,130.55 : 199,488.47 = 83,778.87 : x
  2. Step 2: Convert to fraction form
    133,130.55/199,488.47 = 83,778.87/x
  3. Step 3: Cross multiply
    133,130.55x = 199,488.47 × 83,778.87
  4. Step 4: Simplify right side
    133,130.55x = 16,712,918,175.73
  5. Step 5: Solve for x
    x = 16,712,918,175.73/133,130.55
  6. Step 6: Final answer
    x = 125,537.81

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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.