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Finding the Fourth Proportional to 151,371.75, 208,893.02 and 84,303.75

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Solution

The fourth proportional to 151,371.75, 208,893.02 and 84,303.75 is: 116,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,371.75 : 208,893.02 = 84,303.75 : x
  2. Step 2: Convert to fraction form
    151,371.75/208,893.02 = 84,303.75/x
  3. Step 3: Cross multiply
    151,371.75x = 208,893.02 × 84,303.75
  4. Step 4: Simplify right side
    151,371.75x = 17,610,464,513.31
  5. Step 5: Solve for x
    x = 17,610,464,513.31/151,371.75
  6. Step 6: Final answer
    x = 116,339.18

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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.