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Finding the Fourth Proportional to 151,976, 209,726.96 and 84,908

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Solution

The fourth proportional to 151,976, 209,726.96 and 84,908 is: 117,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,976 : 209,726.96 = 84,908 : x
  2. Step 2: Convert to fraction form
    151,976/209,726.96 = 84,908/x
  3. Step 3: Cross multiply
    151,976x = 209,726.96 × 84,908
  4. Step 4: Simplify right side
    151,976x = 17,807,496,719.68
  5. Step 5: Solve for x
    x = 17,807,496,719.68/151,976
  6. Step 6: Final answer
    x = 117,173.08

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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.