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Finding the Fourth Proportional to 263,547.82, 363,691.65 and 142,688.14

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Solution

The fourth proportional to 263,547.82, 363,691.65 and 142,688.14 is: 196,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,547.82 : 363,691.65 = 142,688.14 : x
  2. Step 2: Convert to fraction form
    263,547.82/363,691.65 = 142,688.14/x
  3. Step 3: Cross multiply
    263,547.82x = 363,691.65 × 142,688.14
  4. Step 4: Simplify right side
    263,547.82x = 51,894,485,072.03
  5. Step 5: Solve for x
    x = 51,894,485,072.03/263,547.82
  6. Step 6: Final answer
    x = 196,907.28

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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.