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Finding the Fourth Proportional to 315,782.12, 435,782.39 and 172,542.16

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Solution

The fourth proportional to 315,782.12, 435,782.39 and 172,542.16 is: 238,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,782.12 : 435,782.39 = 172,542.16 : x
  2. Step 2: Convert to fraction form
    315,782.12/435,782.39 = 172,542.16/x
  3. Step 3: Cross multiply
    315,782.12x = 435,782.39 × 172,542.16
  4. Step 4: Simplify right side
    315,782.12x = 75,190,832,908.40
  5. Step 5: Solve for x
    x = 75,190,832,908.40/315,782.12
  6. Step 6: Final answer
    x = 238,109.85

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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.