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Finding the Fourth Proportional to 152,040.43, 209,809.60 and 84,053.08

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Solution

The fourth proportional to 152,040.43, 209,809.60 and 84,053.08 is: 115,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,040.43 : 209,809.60 = 84,053.08 : x
  2. Step 2: Convert to fraction form
    152,040.43/209,809.60 = 84,053.08/x
  3. Step 3: Cross multiply
    152,040.43x = 209,809.60 × 84,053.08
  4. Step 4: Simplify right side
    152,040.43x = 17,635,143,093.57
  5. Step 5: Solve for x
    x = 17,635,143,093.57/152,040.43
  6. Step 6: Final answer
    x = 115,989.83

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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.