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Finding the Fourth Proportional to 47,578.48, 71,411 and 21,278.32

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Solution

The fourth proportional to 47,578.48, 71,411 and 21,278.32 is: 31,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578.48 : 71,411 = 21,278.32 : x
  2. Step 2: Convert to fraction form
    47,578.48/71,411 = 21,278.32/x
  3. Step 3: Cross multiply
    47,578.48x = 71,411 × 21,278.32
  4. Step 4: Simplify right side
    47,578.48x = 1,519,506,109.52
  5. Step 5: Solve for x
    x = 1,519,506,109.52/47,578.48
  6. Step 6: Final answer
    x = 31,936.84

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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.