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Finding the Fourth Proportional to 48,614.78, 72,922.16 and 11,678.78

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Solution

The fourth proportional to 48,614.78, 72,922.16 and 11,678.78 is: 17,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,614.78 : 72,922.16 = 11,678.78 : x
  2. Step 2: Convert to fraction form
    48,614.78/72,922.16 = 11,678.78/x
  3. Step 3: Cross multiply
    48,614.78x = 72,922.16 × 11,678.78
  4. Step 4: Simplify right side
    48,614.78x = 851,642,009.57
  5. Step 5: Solve for x
    x = 851,642,009.57/48,614.78
  6. Step 6: Final answer
    x = 17,518.17

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1.5x scale

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.