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Finding the Fourth Proportional to 216,574.37, 324,916.89 and 83,418.87

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Solution

The fourth proportional to 216,574.37, 324,916.89 and 83,418.87 is: 125,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,574.37 : 324,916.89 = 83,418.87 : x
  2. Step 2: Convert to fraction form
    216,574.37/324,916.89 = 83,418.87/x
  3. Step 3: Cross multiply
    216,574.37x = 324,916.89 × 83,418.87
  4. Step 4: Simplify right side
    216,574.37x = 27,104,199,807.71
  5. Step 5: Solve for x
    x = 27,104,199,807.71/216,574.37
  6. Step 6: Final answer
    x = 125,149.62

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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.