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Finding the Fourth Proportional to 55,777.60, 83,665.87 and 13,657.87

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Solution

The fourth proportional to 55,777.60, 83,665.87 and 13,657.87 is: 20,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,777.60 : 83,665.87 = 13,657.87 : x
  2. Step 2: Convert to fraction form
    55,777.60/83,665.87 = 13,657.87/x
  3. Step 3: Cross multiply
    55,777.60x = 83,665.87 × 13,657.87
  4. Step 4: Simplify right side
    55,777.60x = 1,142,697,575.90
  5. Step 5: Solve for x
    x = 1,142,697,575.90/55,777.60
  6. Step 6: Final answer
    x = 20,486.68

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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.