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Finding the Fourth Proportional to 48,498.16, 72,731.76 and 18,908.80

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Solution

The fourth proportional to 48,498.16, 72,731.76 and 18,908.80 is: 28,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,498.16 : 72,731.76 = 18,908.80 : x
  2. Step 2: Convert to fraction form
    48,498.16/72,731.76 = 18,908.80/x
  3. Step 3: Cross multiply
    48,498.16x = 72,731.76 × 18,908.80
  4. Step 4: Simplify right side
    48,498.16x = 1,375,270,303.49
  5. Step 5: Solve for x
    x = 1,375,270,303.49/48,498.16
  6. Step 6: Final answer
    x = 28,357.16

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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.