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Finding the Fourth Proportional to 78,345,881.80, 117,434,841.90 and 29,804,979.40

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Solution

The fourth proportional to 78,345,881.80, 117,434,841.90 and 29,804,979.40 is: 44,675,520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,345,881.80 : 117,434,841.90 = 29,804,979.40 : x
  2. Step 2: Convert to fraction form
    78,345,881.80/117,434,841.90 = 29,804,979.40/x
  3. Step 3: Cross multiply
    78,345,881.80x = 117,434,841.90 × 29,804,979.40
  4. Step 4: Simplify right side
    78,345,881.80x = 3,500,143,043,671,757
  5. Step 5: Solve for x
    x = 3,500,143,043,671,757/78,345,881.80
  6. Step 6: Final answer
    x = 44,675,520.44

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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.