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Finding the Fourth Proportional to 142,727.20, 213,681.20 and 138,631.20

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Solution

The fourth proportional to 142,727.20, 213,681.20 and 138,631.20 is: 207,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,727.20 : 213,681.20 = 138,631.20 : x
  2. Step 2: Convert to fraction form
    142,727.20/213,681.20 = 138,631.20/x
  3. Step 3: Cross multiply
    142,727.20x = 213,681.20 × 138,631.20
  4. Step 4: Simplify right side
    142,727.20x = 29,622,881,173.44
  5. Step 5: Solve for x
    x = 29,622,881,173.44/142,727.20
  6. Step 6: Final answer
    x = 207,548.95

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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.