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Finding the Fourth Proportional to 47,036.16, 64,908 and 28,183.68

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Solution

The fourth proportional to 47,036.16, 64,908 and 28,183.68 is: 38,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,036.16 : 64,908 = 28,183.68 : x
  2. Step 2: Convert to fraction form
    47,036.16/64,908 = 28,183.68/x
  3. Step 3: Cross multiply
    47,036.16x = 64,908 × 28,183.68
  4. Step 4: Simplify right side
    47,036.16x = 1,829,346,301.44
  5. Step 5: Solve for x
    x = 1,829,346,301.44/47,036.16
  6. Step 6: Final answer
    x = 38,892.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.