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Finding the Fourth Proportional to 77,894.13, 116,841.18 and 18,729.80

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Solution

The fourth proportional to 77,894.13, 116,841.18 and 18,729.80 is: 28,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,894.13 : 116,841.18 = 18,729.80 : x
  2. Step 2: Convert to fraction form
    77,894.13/116,841.18 = 18,729.80/x
  3. Step 3: Cross multiply
    77,894.13x = 116,841.18 × 18,729.80
  4. Step 4: Simplify right side
    77,894.13x = 2,188,411,348.96
  5. Step 5: Solve for x
    x = 2,188,411,348.96/77,894.13
  6. Step 6: Final answer
    x = 28,094.69

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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.