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Finding the Fourth Proportional to 78,468,173.80, 108,285,978.38 and 48,687,745.66

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Solution

The fourth proportional to 78,468,173.80, 108,285,978.38 and 48,687,745.66 is: 67,189,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,468,173.80 : 108,285,978.38 = 48,687,745.66 : x
  2. Step 2: Convert to fraction form
    78,468,173.80/108,285,978.38 = 48,687,745.66/x
  3. Step 3: Cross multiply
    78,468,173.80x = 108,285,978.38 × 48,687,745.66
  4. Step 4: Simplify right side
    78,468,173.80x = 5,272,200,173,909,698
  5. Step 5: Solve for x
    x = 5,272,200,173,909,698/78,468,173.80
  6. Step 6: Final answer
    x = 67,189,026.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.