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Finding the Fourth Proportional to 57,746.70, 86,628.25 and 17,769

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Solution

The fourth proportional to 57,746.70, 86,628.25 and 17,769 is: 26,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,746.70 : 86,628.25 = 17,769 : x
  2. Step 2: Convert to fraction form
    57,746.70/86,628.25 = 17,769/x
  3. Step 3: Cross multiply
    57,746.70x = 86,628.25 × 17,769
  4. Step 4: Simplify right side
    57,746.70x = 1,539,297,374.25
  5. Step 5: Solve for x
    x = 1,539,297,374.25/57,746.70
  6. Step 6: Final answer
    x = 26,656.02

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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.