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Finding the Fourth Proportional to 78,302, 117,470.28 and 29,054

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Solution

The fourth proportional to 78,302, 117,470.28 and 29,054 is: 43,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,302 : 117,470.28 = 29,054 : x
  2. Step 2: Convert to fraction form
    78,302/117,470.28 = 29,054/x
  3. Step 3: Cross multiply
    78,302x = 117,470.28 × 29,054
  4. Step 4: Simplify right side
    78,302x = 3,412,981,515.12
  5. Step 5: Solve for x
    x = 3,412,981,515.12/78,302
  6. Step 6: Final answer
    x = 43,587.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.