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Finding the Fourth Proportional to 171,212.32, 256,318.80 and 99,916.48

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Solution

The fourth proportional to 171,212.32, 256,318.80 and 99,916.48 is: 149,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,212.32 : 256,318.80 = 99,916.48 : x
  2. Step 2: Convert to fraction form
    171,212.32/256,318.80 = 99,916.48/x
  3. Step 3: Cross multiply
    171,212.32x = 256,318.80 × 99,916.48
  4. Step 4: Simplify right side
    171,212.32x = 25,610,472,253.82
  5. Step 5: Solve for x
    x = 25,610,472,253.82/171,212.32
  6. Step 6: Final answer
    x = 149,583.12

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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.