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Finding the Fourth Proportional to 151,874.42, 209,585.87 and 83,896.07

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Solution

The fourth proportional to 151,874.42, 209,585.87 and 83,896.07 is: 115,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,874.42 : 209,585.87 = 83,896.07 : x
  2. Step 2: Convert to fraction form
    151,874.42/209,585.87 = 83,896.07/x
  3. Step 3: Cross multiply
    151,874.42x = 209,585.87 × 83,896.07
  4. Step 4: Simplify right side
    151,874.42x = 17,583,431,239.63
  5. Step 5: Solve for x
    x = 17,583,431,239.63/151,874.42
  6. Step 6: Final answer
    x = 115,776.12

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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.