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Finding the Fourth Proportional to 55,438.40, 83,141.40 and 19,895.60

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Solution

The fourth proportional to 55,438.40, 83,141.40 and 19,895.60 is: 29,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,438.40 : 83,141.40 = 19,895.60 : x
  2. Step 2: Convert to fraction form
    55,438.40/83,141.40 = 19,895.60/x
  3. Step 3: Cross multiply
    55,438.40x = 83,141.40 × 19,895.60
  4. Step 4: Simplify right side
    55,438.40x = 1,654,148,037.84
  5. Step 5: Solve for x
    x = 1,654,148,037.84/55,438.40
  6. Step 6: Final answer
    x = 29,837.59

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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.