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Finding the Fourth Proportional to 157,854.36, 217,836.28 and 86,232.52

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Solution

The fourth proportional to 157,854.36, 217,836.28 and 86,232.52 is: 118,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,854.36 : 217,836.28 = 86,232.52 : x
  2. Step 2: Convert to fraction form
    157,854.36/217,836.28 = 86,232.52/x
  3. Step 3: Cross multiply
    157,854.36x = 217,836.28 × 86,232.52
  4. Step 4: Simplify right side
    157,854.36x = 18,784,571,371.83
  5. Step 5: Solve for x
    x = 18,784,571,371.83/157,854.36
  6. Step 6: Final answer
    x = 118,999.38

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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.