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Finding the Fourth Proportional to 78,065,795.80, 117,014,712.90 and 29,524,893.40

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Solution

The fourth proportional to 78,065,795.80, 117,014,712.90 and 29,524,893.40 is: 44,255,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065,795.80 : 117,014,712.90 = 29,524,893.40 : x
  2. Step 2: Convert to fraction form
    78,065,795.80/117,014,712.90 = 29,524,893.40/x
  3. Step 3: Cross multiply
    78,065,795.80x = 117,014,712.90 × 29,524,893.40
  4. Step 4: Simplify right side
    78,065,795.80x = 3,454,846,924,604,105
  5. Step 5: Solve for x
    x = 3,454,846,924,604,105/78,065,795.80
  6. Step 6: Final answer
    x = 44,255,578.12

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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.