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Finding the Fourth Proportional to 78,229,969.80, 117,344,954.70 and 45,897,361.80

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Solution

The fourth proportional to 78,229,969.80, 117,344,954.70 and 45,897,361.80 is: 68,846,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,229,969.80 : 117,344,954.70 = 45,897,361.80 : x
  2. Step 2: Convert to fraction form
    78,229,969.80/117,344,954.70 = 45,897,361.80/x
  3. Step 3: Cross multiply
    78,229,969.80x = 117,344,954.70 × 45,897,361.80
  4. Step 4: Simplify right side
    78,229,969.80x = 5,385,823,841,270,510
  5. Step 5: Solve for x
    x = 5,385,823,841,270,510/78,229,969.80
  6. Step 6: Final answer
    x = 68,846,042.70

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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.