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Finding the Fourth Proportional to 207,615.67, 286,489.14 and 116,987.76

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Solution

The fourth proportional to 207,615.67, 286,489.14 and 116,987.76 is: 161,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,615.67 : 286,489.14 = 116,987.76 : x
  2. Step 2: Convert to fraction form
    207,615.67/286,489.14 = 116,987.76/x
  3. Step 3: Cross multiply
    207,615.67x = 286,489.14 × 116,987.76
  4. Step 4: Simplify right side
    207,615.67x = 33,515,721,599.14
  5. Step 5: Solve for x
    x = 33,515,721,599.14/207,615.67
  6. Step 6: Final answer
    x = 161,431.56

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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.