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Finding the Fourth Proportional to 199,953.54, 275,965.92 and 115,054.20

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Solution

The fourth proportional to 199,953.54, 275,965.92 and 115,054.20 is: 158,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,953.54 : 275,965.92 = 115,054.20 : x
  2. Step 2: Convert to fraction form
    199,953.54/275,965.92 = 115,054.20/x
  3. Step 3: Cross multiply
    199,953.54x = 275,965.92 × 115,054.20
  4. Step 4: Simplify right side
    199,953.54x = 31,751,038,152.86
  5. Step 5: Solve for x
    x = 31,751,038,152.86/199,953.54
  6. Step 6: Final answer
    x = 158,792.08

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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.