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Finding the Fourth Proportional to 48,210, 72,316.28 and 15,378

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Solution

The fourth proportional to 48,210, 72,316.28 and 15,378 is: 23,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,210 : 72,316.28 = 15,378 : x
  2. Step 2: Convert to fraction form
    48,210/72,316.28 = 15,378/x
  3. Step 3: Cross multiply
    48,210x = 72,316.28 × 15,378
  4. Step 4: Simplify right side
    48,210x = 1,112,079,753.84
  5. Step 5: Solve for x
    x = 1,112,079,753.84/48,210
  6. Step 6: Final answer
    x = 23,067.41

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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.