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Finding the Fourth Proportional to 76,446,387.20, 114,669,580.80 and 47,780,940.80

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Solution

The fourth proportional to 76,446,387.20, 114,669,580.80 and 47,780,940.80 is: 71,671,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446,387.20 : 114,669,580.80 = 47,780,940.80 : x
  2. Step 2: Convert to fraction form
    76,446,387.20/114,669,580.80 = 47,780,940.80/x
  3. Step 3: Cross multiply
    76,446,387.20x = 114,669,580.80 × 47,780,940.80
  4. Step 4: Simplify right side
    76,446,387.20x = 5,479,020,451,765,616
  5. Step 5: Solve for x
    x = 5,479,020,451,765,616/76,446,387.20
  6. Step 6: Final answer
    x = 71,671,411.20

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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.