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Finding the Fourth Proportional to 78,304, 117,473.28 and 29,056

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Solution

The fourth proportional to 78,304, 117,473.28 and 29,056 is: 43,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,304 : 117,473.28 = 29,056 : x
  2. Step 2: Convert to fraction form
    78,304/117,473.28 = 29,056/x
  3. Step 3: Cross multiply
    78,304x = 117,473.28 × 29,056
  4. Step 4: Simplify right side
    78,304x = 3,413,303,623.68
  5. Step 5: Solve for x
    x = 3,413,303,623.68/78,304
  6. Step 6: Final answer
    x = 43,590.41

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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.