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Finding the Fourth Proportional to 101,992.11, 152,988.14 and 31,871.42

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Solution

The fourth proportional to 101,992.11, 152,988.14 and 31,871.42 is: 47,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,992.11 : 152,988.14 = 31,871.42 : x
  2. Step 2: Convert to fraction form
    101,992.11/152,988.14 = 31,871.42/x
  3. Step 3: Cross multiply
    101,992.11x = 152,988.14 × 31,871.42
  4. Step 4: Simplify right side
    101,992.11x = 4,875,949,727.11
  5. Step 5: Solve for x
    x = 4,875,949,727.11/101,992.11
  6. Step 6: Final answer
    x = 47,807.13

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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.