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Finding the Fourth Proportional to 142,083.11, 213,122.81 and 40,883.81

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Solution

The fourth proportional to 142,083.11, 213,122.81 and 40,883.81 is: 61,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,083.11 : 213,122.81 = 40,883.81 : x
  2. Step 2: Convert to fraction form
    142,083.11/213,122.81 = 40,883.81/x
  3. Step 3: Cross multiply
    142,083.11x = 213,122.81 × 40,883.81
  4. Step 4: Simplify right side
    142,083.11x = 8,713,271,507.30
  5. Step 5: Solve for x
    x = 8,713,271,507.30/142,083.11
  6. Step 6: Final answer
    x = 61,325.17

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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.