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Finding the Fourth Proportional to 151,912, 209,656.38 and 91,513.14

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Solution

The fourth proportional to 151,912, 209,656.38 and 91,513.14 is: 126,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,912 : 209,656.38 = 91,513.14 : x
  2. Step 2: Convert to fraction form
    151,912/209,656.38 = 91,513.14/x
  3. Step 3: Cross multiply
    151,912x = 209,656.38 × 91,513.14
  4. Step 4: Simplify right side
    151,912x = 19,186,313,654.83
  5. Step 5: Solve for x
    x = 19,186,313,654.83/151,912
  6. Step 6: Final answer
    x = 126,298.87

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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.