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Finding the Fourth Proportional to 137,888.73, 190,231.34 and 86,887.89

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Solution

The fourth proportional to 137,888.73, 190,231.34 and 86,887.89 is: 119,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,888.73 : 190,231.34 = 86,887.89 : x
  2. Step 2: Convert to fraction form
    137,888.73/190,231.34 = 86,887.89/x
  3. Step 3: Cross multiply
    137,888.73x = 190,231.34 × 86,887.89
  4. Step 4: Simplify right side
    137,888.73x = 16,528,799,310.03
  5. Step 5: Solve for x
    x = 16,528,799,310.03/137,888.73
  6. Step 6: Final answer
    x = 119,870.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.