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Finding the Fourth Proportional to 197,812, 272,980.56 and 108,386.08

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Solution

The fourth proportional to 197,812, 272,980.56 and 108,386.08 is: 149,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,812 : 272,980.56 = 108,386.08 : x
  2. Step 2: Convert to fraction form
    197,812/272,980.56 = 108,386.08/x
  3. Step 3: Cross multiply
    197,812x = 272,980.56 × 108,386.08
  4. Step 4: Simplify right side
    197,812x = 29,587,292,814.60
  5. Step 5: Solve for x
    x = 29,587,292,814.60/197,812
  6. Step 6: Final answer
    x = 149,572.79

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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.