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Finding the Fourth Proportional to 42,765.75, 64,114.02 and 17,824.59

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Solution

The fourth proportional to 42,765.75, 64,114.02 and 17,824.59 is: 26,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,765.75 : 64,114.02 = 17,824.59 : x
  2. Step 2: Convert to fraction form
    42,765.75/64,114.02 = 17,824.59/x
  3. Step 3: Cross multiply
    42,765.75x = 64,114.02 × 17,824.59
  4. Step 4: Simplify right side
    42,765.75x = 1,142,806,119.75
  5. Step 5: Solve for x
    x = 1,142,806,119.75/42,765.75
  6. Step 6: Final answer
    x = 26,722.46

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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.