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Finding the Fourth Proportional to 48,133, 72,228.66 and 20,431

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Solution

The fourth proportional to 48,133, 72,228.66 and 20,431 is: 30,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,133 : 72,228.66 = 20,431 : x
  2. Step 2: Convert to fraction form
    48,133/72,228.66 = 20,431/x
  3. Step 3: Cross multiply
    48,133x = 72,228.66 × 20,431
  4. Step 4: Simplify right side
    48,133x = 1,475,703,752.46
  5. Step 5: Solve for x
    x = 1,475,703,752.46/48,133
  6. Step 6: Final answer
    x = 30,658.88

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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.