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Finding the Fourth Proportional to 200,008.63, 276,081.42 and 115,159.51

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Solution

The fourth proportional to 200,008.63, 276,081.42 and 115,159.51 is: 158,960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,008.63 : 276,081.42 = 115,159.51 : x
  2. Step 2: Convert to fraction form
    200,008.63/276,081.42 = 115,159.51/x
  3. Step 3: Cross multiply
    200,008.63x = 276,081.42 × 115,159.51
  4. Step 4: Simplify right side
    200,008.63x = 31,793,401,047.30
  5. Step 5: Solve for x
    x = 31,793,401,047.30/200,008.63
  6. Step 6: Final answer
    x = 158,960.15

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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.