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Finding the Fourth Proportional to 42,940.88, 64,398.36 and 25,406

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Solution

The fourth proportional to 42,940.88, 64,398.36 and 25,406 is: 38,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,940.88 : 64,398.36 = 25,406 : x
  2. Step 2: Convert to fraction form
    42,940.88/64,398.36 = 25,406/x
  3. Step 3: Cross multiply
    42,940.88x = 64,398.36 × 25,406
  4. Step 4: Simplify right side
    42,940.88x = 1,636,104,734.16
  5. Step 5: Solve for x
    x = 1,636,104,734.16/42,940.88
  6. Step 6: Final answer
    x = 38,101.33

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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.