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Finding the Fourth Proportional to 78,208.34, 117,311.29 and 19,043.91

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Solution

The fourth proportional to 78,208.34, 117,311.29 and 19,043.91 is: 28,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,208.34 : 117,311.29 = 19,043.91 : x
  2. Step 2: Convert to fraction form
    78,208.34/117,311.29 = 19,043.91/x
  3. Step 3: Cross multiply
    78,208.34x = 117,311.29 × 19,043.91
  4. Step 4: Simplify right side
    78,208.34x = 2,234,065,601.13
  5. Step 5: Solve for x
    x = 2,234,065,601.13/78,208.34
  6. Step 6: Final answer
    x = 28,565.57

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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.