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Finding the Fourth Proportional to 78,972.79, 118,514.53 and 45,647

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Solution

The fourth proportional to 78,972.79, 118,514.53 and 45,647 is: 68,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,972.79 : 118,514.53 = 45,647 : x
  2. Step 2: Convert to fraction form
    78,972.79/118,514.53 = 45,647/x
  3. Step 3: Cross multiply
    78,972.79x = 118,514.53 × 45,647
  4. Step 4: Simplify right side
    78,972.79x = 5,409,832,750.91
  5. Step 5: Solve for x
    x = 5,409,832,750.91/78,972.79
  6. Step 6: Final answer
    x = 68,502.49

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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.