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Finding the Fourth Proportional to 152,704.29, 210,724.81 and 84,720.54

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Solution

The fourth proportional to 152,704.29, 210,724.81 and 84,720.54 is: 116,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,704.29 : 210,724.81 = 84,720.54 : x
  2. Step 2: Convert to fraction form
    152,704.29/210,724.81 = 84,720.54/x
  3. Step 3: Cross multiply
    152,704.29x = 210,724.81 × 84,720.54
  4. Step 4: Simplify right side
    152,704.29x = 17,852,719,694.60
  5. Step 5: Solve for x
    x = 17,852,719,694.60/152,704.29
  6. Step 6: Final answer
    x = 116,910.40

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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.