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Finding the Fourth Proportional to 345,243.71, 517,865.61 and 105,358.87

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Solution

The fourth proportional to 345,243.71, 517,865.61 and 105,358.87 is: 158,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,243.71 : 517,865.61 = 105,358.87 : x
  2. Step 2: Convert to fraction form
    345,243.71/517,865.61 = 105,358.87/x
  3. Step 3: Cross multiply
    345,243.71x = 517,865.61 × 105,358.87
  4. Step 4: Simplify right side
    345,243.71x = 54,561,735,481.46
  5. Step 5: Solve for x
    x = 54,561,735,481.46/345,243.71
  6. Step 6: Final answer
    x = 158,038.32

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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.