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Finding the Fourth Proportional to 197,182, 272,111.16 and 107,758

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Solution

The fourth proportional to 197,182, 272,111.16 and 107,758 is: 148,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,182 : 272,111.16 = 107,758 : x
  2. Step 2: Convert to fraction form
    197,182/272,111.16 = 107,758/x
  3. Step 3: Cross multiply
    197,182x = 272,111.16 × 107,758
  4. Step 4: Simplify right side
    197,182x = 29,322,154,379.28
  5. Step 5: Solve for x
    x = 29,322,154,379.28/197,182
  6. Step 6: Final answer
    x = 148,706.04

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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.