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Finding the Fourth Proportional to 134,719, 202,107.68 and 51,613

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Solution

The fourth proportional to 134,719, 202,107.68 and 51,613 is: 77,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,719 : 202,107.68 = 51,613 : x
  2. Step 2: Convert to fraction form
    134,719/202,107.68 = 51,613/x
  3. Step 3: Cross multiply
    134,719x = 202,107.68 × 51,613
  4. Step 4: Simplify right side
    134,719x = 10,431,383,687.84
  5. Step 5: Solve for x
    x = 10,431,383,687.84/134,719
  6. Step 6: Final answer
    x = 77,430.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.