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Finding the Fourth Proportional to 48,658.78, 72,988.17 and 11,722.78

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Solution

The fourth proportional to 48,658.78, 72,988.17 and 11,722.78 is: 17,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,658.78 : 72,988.17 = 11,722.78 : x
  2. Step 2: Convert to fraction form
    48,658.78/72,988.17 = 11,722.78/x
  3. Step 3: Cross multiply
    48,658.78x = 72,988.17 × 11,722.78
  4. Step 4: Simplify right side
    48,658.78x = 855,624,259.51
  5. Step 5: Solve for x
    x = 855,624,259.51/48,658.78
  6. Step 6: Final answer
    x = 17,584.17

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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.