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Finding the Fourth Proportional to 78,218.73, 117,326.70 and 19,054.26

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Solution

The fourth proportional to 78,218.73, 117,326.70 and 19,054.26 is: 28,581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218.73 : 117,326.70 = 19,054.26 : x
  2. Step 2: Convert to fraction form
    78,218.73/117,326.70 = 19,054.26/x
  3. Step 3: Cross multiply
    78,218.73x = 117,326.70 × 19,054.26
  4. Step 4: Simplify right side
    78,218.73x = 2,235,573,446.74
  5. Step 5: Solve for x
    x = 2,235,573,446.74/78,218.73
  6. Step 6: Final answer
    x = 28,581.05

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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.