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Finding the Fourth Proportional to 115,120.40, 172,421.40 and 68,464.40

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Solution

The fourth proportional to 115,120.40, 172,421.40 and 68,464.40 is: 102,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,120.40 : 172,421.40 = 68,464.40 : x
  2. Step 2: Convert to fraction form
    115,120.40/172,421.40 = 68,464.40/x
  3. Step 3: Cross multiply
    115,120.40x = 172,421.40 × 68,464.40
  4. Step 4: Simplify right side
    115,120.40x = 11,804,727,698.16
  5. Step 5: Solve for x
    x = 11,804,727,698.16/115,120.40
  6. Step 6: Final answer
    x = 102,542.45

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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.