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Finding the Fourth Proportional to 97,967, 135,047.52 and 76,709.36

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Solution

The fourth proportional to 97,967, 135,047.52 and 76,709.36 is: 105,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,967 : 135,047.52 = 76,709.36 : x
  2. Step 2: Convert to fraction form
    97,967/135,047.52 = 76,709.36/x
  3. Step 3: Cross multiply
    97,967x = 135,047.52 × 76,709.36
  4. Step 4: Simplify right side
    97,967x = 10,359,408,828.79
  5. Step 5: Solve for x
    x = 10,359,408,828.79/97,967
  6. Step 6: Final answer
    x = 105,743.86

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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.