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Finding the Fourth Proportional to 151,235.91, 208,703.13 and 83,253.09

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Solution

The fourth proportional to 151,235.91, 208,703.13 and 83,253.09 is: 114,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,235.91 : 208,703.13 = 83,253.09 : x
  2. Step 2: Convert to fraction form
    151,235.91/208,703.13 = 83,253.09/x
  3. Step 3: Cross multiply
    151,235.91x = 208,703.13 × 83,253.09
  4. Step 4: Simplify right side
    151,235.91x = 17,375,180,816.93
  5. Step 5: Solve for x
    x = 17,375,180,816.93/151,235.91
  6. Step 6: Final answer
    x = 114,887.93

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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.