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Finding the Fourth Proportional to 42,692.88, 64,057.80 and 17,738.40

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Solution

The fourth proportional to 42,692.88, 64,057.80 and 17,738.40 is: 26,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,692.88 : 64,057.80 = 17,738.40 : x
  2. Step 2: Convert to fraction form
    42,692.88/64,057.80 = 17,738.40/x
  3. Step 3: Cross multiply
    42,692.88x = 64,057.80 × 17,738.40
  4. Step 4: Simplify right side
    42,692.88x = 1,136,282,879.52
  5. Step 5: Solve for x
    x = 1,136,282,879.52/42,692.88
  6. Step 6: Final answer
    x = 26,615.28

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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.