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Finding the Fourth Proportional to 42,788.64, 64,159.44 and 13,198.32

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Solution

The fourth proportional to 42,788.64, 64,159.44 and 13,198.32 is: 19,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,788.64 : 64,159.44 = 13,198.32 : x
  2. Step 2: Convert to fraction form
    42,788.64/64,159.44 = 13,198.32/x
  3. Step 3: Cross multiply
    42,788.64x = 64,159.44 × 13,198.32
  4. Step 4: Simplify right side
    42,788.64x = 846,796,820.14
  5. Step 5: Solve for x
    x = 846,796,820.14/42,788.64
  6. Step 6: Final answer
    x = 19,790.23

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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.