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Finding the Fourth Proportional to 77,397.65, 116,096.60 and 21,238.53

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Solution

The fourth proportional to 77,397.65, 116,096.60 and 21,238.53 is: 31,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,397.65 : 116,096.60 = 21,238.53 : x
  2. Step 2: Convert to fraction form
    77,397.65/116,096.60 = 21,238.53/x
  3. Step 3: Cross multiply
    77,397.65x = 116,096.60 × 21,238.53
  4. Step 4: Simplify right side
    77,397.65x = 2,465,721,175.09
  5. Step 5: Solve for x
    x = 2,465,721,175.09/77,397.65
  6. Step 6: Final answer
    x = 31,857.83

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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.