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Finding the Fourth Proportional to 151,795, 209,477.22 and 84,727

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Solution

The fourth proportional to 151,795, 209,477.22 and 84,727 is: 116,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,795 : 209,477.22 = 84,727 : x
  2. Step 2: Convert to fraction form
    151,795/209,477.22 = 84,727/x
  3. Step 3: Cross multiply
    151,795x = 209,477.22 × 84,727
  4. Step 4: Simplify right side
    151,795x = 17,748,376,418.94
  5. Step 5: Solve for x
    x = 17,748,376,418.94/151,795
  6. Step 6: Final answer
    x = 116,923.33

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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.