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Finding the Fourth Proportional to 78,005,649.90, 117,008,474.85 and 37,694,865.90

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Solution

The fourth proportional to 78,005,649.90, 117,008,474.85 and 37,694,865.90 is: 56,542,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005,649.90 : 117,008,474.85 = 37,694,865.90 : x
  2. Step 2: Convert to fraction form
    78,005,649.90/117,008,474.85 = 37,694,865.90/x
  3. Step 3: Cross multiply
    78,005,649.90x = 117,008,474.85 × 37,694,865.90
  4. Step 4: Simplify right side
    78,005,649.90x = 4,410,618,768,634,272
  5. Step 5: Solve for x
    x = 4,410,618,768,634,272/78,005,649.90
  6. Step 6: Final answer
    x = 56,542,298.85

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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.