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Finding the Fourth Proportional to 137,164.94, 205,784.38 and 57,176.32

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Solution

The fourth proportional to 137,164.94, 205,784.38 and 57,176.32 is: 85,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,164.94 : 205,784.38 = 57,176.32 : x
  2. Step 2: Convert to fraction form
    137,164.94/205,784.38 = 57,176.32/x
  3. Step 3: Cross multiply
    137,164.94x = 205,784.38 × 57,176.32
  4. Step 4: Simplify right side
    137,164.94x = 11,765,993,561.88
  5. Step 5: Solve for x
    x = 11,765,993,561.88/137,164.94
  6. Step 6: Final answer
    x = 85,779.89

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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.