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Finding the Fourth Proportional to 78,281.83, 117,422.34 and 19,117.81

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Solution

The fourth proportional to 78,281.83, 117,422.34 and 19,117.81 is: 28,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,281.83 : 117,422.34 = 19,117.81 : x
  2. Step 2: Convert to fraction form
    78,281.83/117,422.34 = 19,117.81/x
  3. Step 3: Cross multiply
    78,281.83x = 117,422.34 × 19,117.81
  4. Step 4: Simplify right side
    78,281.83x = 2,244,857,985.88
  5. Step 5: Solve for x
    x = 2,244,857,985.88/78,281.83
  6. Step 6: Final answer
    x = 28,676.62

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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.