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Finding the Fourth Proportional to 160,497,327.60, 221,491,791 and 89,935,916.40

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Solution

The fourth proportional to 160,497,327.60, 221,491,791 and 89,935,916.40 is: 124,114,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,497,327.60 : 221,491,791 = 89,935,916.40 : x
  2. Step 2: Convert to fraction form
    160,497,327.60/221,491,791 = 89,935,916.40/x
  3. Step 3: Cross multiply
    160,497,327.60x = 221,491,791 × 89,935,916.40
  4. Step 4: Simplify right side
    160,497,327.60x = 19,920,067,198,662,272
  5. Step 5: Solve for x
    x = 19,920,067,198,662,272/160,497,327.60
  6. Step 6: Final answer
    x = 124,114,634.78

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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.