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Finding the Fourth Proportional to 78,490.49, 117,734.51 and 19,326.67

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Solution

The fourth proportional to 78,490.49, 117,734.51 and 19,326.67 is: 28,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,490.49 : 117,734.51 = 19,326.67 : x
  2. Step 2: Convert to fraction form
    78,490.49/117,734.51 = 19,326.67/x
  3. Step 3: Cross multiply
    78,490.49x = 117,734.51 × 19,326.67
  4. Step 4: Simplify right side
    78,490.49x = 2,275,415,776.36
  5. Step 5: Solve for x
    x = 2,275,415,776.36/78,490.49
  6. Step 6: Final answer
    x = 28,989.70

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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.