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Finding the Fourth Proportional to 55,760, 83,647.80 and 16,319.96

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Solution

The fourth proportional to 55,760, 83,647.80 and 16,319.96 is: 24,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,760 : 83,647.80 = 16,319.96 : x
  2. Step 2: Convert to fraction form
    55,760/83,647.80 = 16,319.96/x
  3. Step 3: Cross multiply
    55,760x = 83,647.80 × 16,319.96
  4. Step 4: Simplify right side
    55,760x = 1,365,128,750.09
  5. Step 5: Solve for x
    x = 1,365,128,750.09/55,760
  6. Step 6: Final answer
    x = 24,482.22

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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.