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Finding the Fourth Proportional to 151,157.52, 208,588.28 and 83,172

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Solution

The fourth proportional to 151,157.52, 208,588.28 and 83,172 is: 114,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,157.52 : 208,588.28 = 83,172 : x
  2. Step 2: Convert to fraction form
    151,157.52/208,588.28 = 83,172/x
  3. Step 3: Cross multiply
    151,157.52x = 208,588.28 × 83,172
  4. Step 4: Simplify right side
    151,157.52x = 17,348,704,424.16
  5. Step 5: Solve for x
    x = 17,348,704,424.16/151,157.52
  6. Step 6: Final answer
    x = 114,772.35

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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.