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Finding the Fourth Proportional to 197,143.50, 272,058.04 and 107,719.50

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Solution

The fourth proportional to 197,143.50, 272,058.04 and 107,719.50 is: 148,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,143.50 : 272,058.04 = 107,719.50 : x
  2. Step 2: Convert to fraction form
    197,143.50/272,058.04 = 107,719.50/x
  3. Step 3: Cross multiply
    197,143.50x = 272,058.04 × 107,719.50
  4. Step 4: Simplify right side
    197,143.50x = 29,305,956,039.78
  5. Step 5: Solve for x
    x = 29,305,956,039.78/197,143.50
  6. Step 6: Final answer
    x = 148,652.92

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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.