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Finding the Fourth Proportional to 57,788.48, 86,690 and 19,845.16

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Solution

The fourth proportional to 57,788.48, 86,690 and 19,845.16 is: 29,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,788.48 : 86,690 = 19,845.16 : x
  2. Step 2: Convert to fraction form
    57,788.48/86,690 = 19,845.16/x
  3. Step 3: Cross multiply
    57,788.48x = 86,690 × 19,845.16
  4. Step 4: Simplify right side
    57,788.48x = 1,720,376,920.40
  5. Step 5: Solve for x
    x = 1,720,376,920.40/57,788.48
  6. Step 6: Final answer
    x = 29,770.24

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1.5x scale

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.