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Finding the Fourth Proportional to 131,284, 181,176.32 and 71,668

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Solution

The fourth proportional to 131,284, 181,176.32 and 71,668 is: 98,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,284 : 181,176.32 = 71,668 : x
  2. Step 2: Convert to fraction form
    131,284/181,176.32 = 71,668/x
  3. Step 3: Cross multiply
    131,284x = 181,176.32 × 71,668
  4. Step 4: Simplify right side
    131,284x = 12,984,544,501.76
  5. Step 5: Solve for x
    x = 12,984,544,501.76/131,284
  6. Step 6: Final answer
    x = 98,904.24

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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.