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Finding the Fourth Proportional to 137,840.71, 206,663.77 and 53,530.65

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Solution

The fourth proportional to 137,840.71, 206,663.77 and 53,530.65 is: 80,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,840.71 : 206,663.77 = 53,530.65 : x
  2. Step 2: Convert to fraction form
    137,840.71/206,663.77 = 53,530.65/x
  3. Step 3: Cross multiply
    137,840.71x = 206,663.77 × 53,530.65
  4. Step 4: Simplify right side
    137,840.71x = 11,062,845,939.55
  5. Step 5: Solve for x
    x = 11,062,845,939.55/137,840.71
  6. Step 6: Final answer
    x = 80,258.19

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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.