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Finding the Fourth Proportional to 80,967, 111,749.58 and 47,433

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Solution

The fourth proportional to 80,967, 111,749.58 and 47,433 is: 65,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,967 : 111,749.58 = 47,433 : x
  2. Step 2: Convert to fraction form
    80,967/111,749.58 = 47,433/x
  3. Step 3: Cross multiply
    80,967x = 111,749.58 × 47,433
  4. Step 4: Simplify right side
    80,967x = 5,300,617,828.14
  5. Step 5: Solve for x
    x = 5,300,617,828.14/80,967
  6. Step 6: Final answer
    x = 65,466.40

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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.