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Finding the Fourth Proportional to 48,492.68, 72,730.76 and 13,424.12

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Solution

The fourth proportional to 48,492.68, 72,730.76 and 13,424.12 is: 20,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,492.68 : 72,730.76 = 13,424.12 : x
  2. Step 2: Convert to fraction form
    48,492.68/72,730.76 = 13,424.12/x
  3. Step 3: Cross multiply
    48,492.68x = 72,730.76 × 13,424.12
  4. Step 4: Simplify right side
    48,492.68x = 976,346,449.93
  5. Step 5: Solve for x
    x = 976,346,449.93/48,492.68
  6. Step 6: Final answer
    x = 20,133.89

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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.