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Finding the Fourth Proportional to 78,216.51, 117,322.47 and 19,051.32

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Solution

The fourth proportional to 78,216.51, 117,322.47 and 19,051.32 is: 28,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,216.51 : 117,322.47 = 19,051.32 : x
  2. Step 2: Convert to fraction form
    78,216.51/117,322.47 = 19,051.32/x
  3. Step 3: Cross multiply
    78,216.51x = 117,322.47 × 19,051.32
  4. Step 4: Simplify right side
    78,216.51x = 2,235,147,919.16
  5. Step 5: Solve for x
    x = 2,235,147,919.16/78,216.51
  6. Step 6: Final answer
    x = 28,576.42

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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.