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Finding the Fourth Proportional to 89,006,905.80, 133,533,978.30 and 31,493,179.80

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Solution

The fourth proportional to 89,006,905.80, 133,533,978.30 and 31,493,179.80 is: 47,248,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,006,905.80 : 133,533,978.30 = 31,493,179.80 : x
  2. Step 2: Convert to fraction form
    89,006,905.80/133,533,978.30 = 31,493,179.80/x
  3. Step 3: Cross multiply
    89,006,905.80x = 133,533,978.30 × 31,493,179.80
  4. Step 4: Simplify right side
    89,006,905.80x = 4,205,409,588,011,198.50
  5. Step 5: Solve for x
    x = 4,205,409,588,011,198.50/89,006,905.80
  6. Step 6: Final answer
    x = 47,248,126.99

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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.