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Finding the Fourth Proportional to 196,263, 270,878.28 and 115,685.76

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Solution

The fourth proportional to 196,263, 270,878.28 and 115,685.76 is: 159,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,263 : 270,878.28 = 115,685.76 : x
  2. Step 2: Convert to fraction form
    196,263/270,878.28 = 115,685.76/x
  3. Step 3: Cross multiply
    196,263x = 270,878.28 × 115,685.76
  4. Step 4: Simplify right side
    196,263x = 31,336,759,689.29
  5. Step 5: Solve for x
    x = 31,336,759,689.29/196,263
  6. Step 6: Final answer
    x = 159,667.18

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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.