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Finding the Fourth Proportional to 130,284, 179,791.92 and 73,694.16

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Solution

The fourth proportional to 130,284, 179,791.92 and 73,694.16 is: 101,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,284 : 179,791.92 = 73,694.16 : x
  2. Step 2: Convert to fraction form
    130,284/179,791.92 = 73,694.16/x
  3. Step 3: Cross multiply
    130,284x = 179,791.92 × 73,694.16
  4. Step 4: Simplify right side
    130,284x = 13,249,614,519.19
  5. Step 5: Solve for x
    x = 13,249,614,519.19/130,284
  6. Step 6: Final answer
    x = 101,697.94

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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.