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Finding the Fourth Proportional to 200,686.31, 301,079.66 and 141,637.31

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Solution

The fourth proportional to 200,686.31, 301,079.66 and 141,637.31 is: 212,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,686.31 : 301,079.66 = 141,637.31 : x
  2. Step 2: Convert to fraction form
    200,686.31/301,079.66 = 141,637.31/x
  3. Step 3: Cross multiply
    200,686.31x = 301,079.66 × 141,637.31
  4. Step 4: Simplify right side
    200,686.31x = 42,644,110,924.53
  5. Step 5: Solve for x
    x = 42,644,110,924.53/200,686.31
  6. Step 6: Final answer
    x = 212,491.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.