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Finding the Fourth Proportional to 133,390.80, 199,916.10 and 54,415.80

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Solution

The fourth proportional to 133,390.80, 199,916.10 and 54,415.80 is: 81,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,390.80 : 199,916.10 = 54,415.80 : x
  2. Step 2: Convert to fraction form
    133,390.80/199,916.10 = 54,415.80/x
  3. Step 3: Cross multiply
    133,390.80x = 199,916.10 × 54,415.80
  4. Step 4: Simplify right side
    133,390.80x = 10,878,594,514.38
  5. Step 5: Solve for x
    x = 10,878,594,514.38/133,390.80
  6. Step 6: Final answer
    x = 81,554.31

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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.