Home / 205,837.80-284,069.86-115,201.64

Finding the Fourth Proportional to 205,837.80, 284,069.86 and 115,201.64

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Solution

The fourth proportional to 205,837.80, 284,069.86 and 115,201.64 is: 158,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,837.80 : 284,069.86 = 115,201.64 : x
  2. Step 2: Convert to fraction form
    205,837.80/284,069.86 = 115,201.64/x
  3. Step 3: Cross multiply
    205,837.80x = 284,069.86 × 115,201.64
  4. Step 4: Simplify right side
    205,837.80x = 32,725,313,746.57
  5. Step 5: Solve for x
    x = 32,725,313,746.57/205,837.80
  6. Step 6: Final answer
    x = 158,985.93

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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.