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Finding the Fourth Proportional to 216,869.29, 299,243.91 and 136,239.71

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Solution

The fourth proportional to 216,869.29, 299,243.91 and 136,239.71 is: 187,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,869.29 : 299,243.91 = 136,239.71 : x
  2. Step 2: Convert to fraction form
    216,869.29/299,243.91 = 136,239.71/x
  3. Step 3: Cross multiply
    216,869.29x = 299,243.91 × 136,239.71
  4. Step 4: Simplify right side
    216,869.29x = 40,768,903,517.67
  5. Step 5: Solve for x
    x = 40,768,903,517.67/216,869.29
  6. Step 6: Final answer
    x = 187,988.37

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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.