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Finding the Fourth Proportional to 42,912.40, 64,541.40 and 38,419.60

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Solution

The fourth proportional to 42,912.40, 64,541.40 and 38,419.60 is: 57,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,912.40 : 64,541.40 = 38,419.60 : x
  2. Step 2: Convert to fraction form
    42,912.40/64,541.40 = 38,419.60/x
  3. Step 3: Cross multiply
    42,912.40x = 64,541.40 × 38,419.60
  4. Step 4: Simplify right side
    42,912.40x = 2,479,654,771.44
  5. Step 5: Solve for x
    x = 2,479,654,771.44/42,912.40
  6. Step 6: Final answer
    x = 57,784.11

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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.