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Finding the Fourth Proportional to 199,894.24, 275,854.32 and 115,009.60

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Solution

The fourth proportional to 199,894.24, 275,854.32 and 115,009.60 is: 158,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,894.24 : 275,854.32 = 115,009.60 : x
  2. Step 2: Convert to fraction form
    199,894.24/275,854.32 = 115,009.60/x
  3. Step 3: Cross multiply
    199,894.24x = 275,854.32 × 115,009.60
  4. Step 4: Simplify right side
    199,894.24x = 31,725,895,001.47
  5. Step 5: Solve for x
    x = 31,725,895,001.47/199,894.24
  6. Step 6: Final answer
    x = 158,713.40

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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.