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Finding the Fourth Proportional to 137,783.77, 206,755.40 and 57,814.59

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Solution

The fourth proportional to 137,783.77, 206,755.40 and 57,814.59 is: 86,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,783.77 : 206,755.40 = 57,814.59 : x
  2. Step 2: Convert to fraction form
    137,783.77/206,755.40 = 57,814.59/x
  3. Step 3: Cross multiply
    137,783.77x = 206,755.40 × 57,814.59
  4. Step 4: Simplify right side
    137,783.77x = 11,953,479,601.16
  5. Step 5: Solve for x
    x = 11,953,479,601.16/137,783.77
  6. Step 6: Final answer
    x = 86,755.35

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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.