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Finding the Fourth Proportional to 48,752, 73,128 and 11,816

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Solution

The fourth proportional to 48,752, 73,128 and 11,816 is: 17,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,752 : 73,128 = 11,816 : x
  2. Step 2: Convert to fraction form
    48,752/73,128 = 11,816/x
  3. Step 3: Cross multiply
    48,752x = 73,128 × 11,816
  4. Step 4: Simplify right side
    48,752x = 864,080,448
  5. Step 5: Solve for x
    x = 864,080,448/48,752
  6. Step 6: Final answer
    x = 17,724

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.