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Finding the Fourth Proportional to 42,912.40, 64,411.80 and 20,743.60

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Solution

The fourth proportional to 42,912.40, 64,411.80 and 20,743.60 is: 31,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,912.40 : 64,411.80 = 20,743.60 : x
  2. Step 2: Convert to fraction form
    42,912.40/64,411.80 = 20,743.60/x
  3. Step 3: Cross multiply
    42,912.40x = 64,411.80 × 20,743.60
  4. Step 4: Simplify right side
    42,912.40x = 1,336,132,614.48
  5. Step 5: Solve for x
    x = 1,336,132,614.48/42,912.40
  6. Step 6: Final answer
    x = 31,136.28

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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.