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Finding the Fourth Proportional to 99,648,327.60, 149,472,491.40 and 31,511,905.20

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Solution

The fourth proportional to 99,648,327.60, 149,472,491.40 and 31,511,905.20 is: 47,267,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,648,327.60 : 149,472,491.40 = 31,511,905.20 : x
  2. Step 2: Convert to fraction form
    99,648,327.60/149,472,491.40 = 31,511,905.20/x
  3. Step 3: Cross multiply
    99,648,327.60x = 149,472,491.40 × 31,511,905.20
  4. Step 4: Simplify right side
    99,648,327.60x = 4,710,162,979,004,615
  5. Step 5: Solve for x
    x = 4,710,162,979,004,615/99,648,327.60
  6. Step 6: Final answer
    x = 47,267,857.80

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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.