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Finding the Fourth Proportional to 141,800.05, 212,499.60 and 78,648

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Solution

The fourth proportional to 141,800.05, 212,499.60 and 78,648 is: 117,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,800.05 : 212,499.60 = 78,648 : x
  2. Step 2: Convert to fraction form
    141,800.05/212,499.60 = 78,648/x
  3. Step 3: Cross multiply
    141,800.05x = 212,499.60 × 78,648
  4. Step 4: Simplify right side
    141,800.05x = 16,712,668,540.80
  5. Step 5: Solve for x
    x = 16,712,668,540.80/141,800.05
  6. Step 6: Final answer
    x = 117,860.81

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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.