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Finding the Fourth Proportional to 55,438.80, 83,150.10 and 15,991.80

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Solution

The fourth proportional to 55,438.80, 83,150.10 and 15,991.80 is: 23,985.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,438.80 : 83,150.10 = 15,991.80 : x
  2. Step 2: Convert to fraction form
    55,438.80/83,150.10 = 15,991.80/x
  3. Step 3: Cross multiply
    55,438.80x = 83,150.10 × 15,991.80
  4. Step 4: Simplify right side
    55,438.80x = 1,329,719,769.18
  5. Step 5: Solve for x
    x = 1,329,719,769.18/55,438.80
  6. Step 6: Final answer
    x = 23,985.36

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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.