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Finding the Fourth Proportional to 42,809.66, 64,187.16 and 20,578.82

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Solution

The fourth proportional to 42,809.66, 64,187.16 and 20,578.82 is: 30,855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,809.66 : 64,187.16 = 20,578.82 : x
  2. Step 2: Convert to fraction form
    42,809.66/64,187.16 = 20,578.82/x
  3. Step 3: Cross multiply
    42,809.66x = 64,187.16 × 20,578.82
  4. Step 4: Simplify right side
    42,809.66x = 1,320,896,011.95
  5. Step 5: Solve for x
    x = 1,320,896,011.95/42,809.66
  6. Step 6: Final answer
    x = 30,855.09

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1.5x scale

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.