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Finding the Fourth Proportional to 152,781.92, 210,837.52 and 84,797.14

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Solution

The fourth proportional to 152,781.92, 210,837.52 and 84,797.14 is: 117,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,781.92 : 210,837.52 = 84,797.14 : x
  2. Step 2: Convert to fraction form
    152,781.92/210,837.52 = 84,797.14/x
  3. Step 3: Cross multiply
    152,781.92x = 210,837.52 × 84,797.14
  4. Step 4: Simplify right side
    152,781.92x = 17,878,419,333.78
  5. Step 5: Solve for x
    x = 17,878,419,333.78/152,781.92
  6. Step 6: Final answer
    x = 117,019.21

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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.