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Finding the Fourth Proportional to 11,688,978.81, 16,129,393.74 and 6,461,280.80

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Solution

The fourth proportional to 11,688,978.81, 16,129,393.74 and 6,461,280.80 is: 8,915,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688,978.81 : 16,129,393.74 = 6,461,280.80 : x
  2. Step 2: Convert to fraction form
    11,688,978.81/16,129,393.74 = 6,461,280.80/x
  3. Step 3: Cross multiply
    11,688,978.81x = 16,129,393.74 × 6,461,280.80
  4. Step 4: Simplify right side
    11,688,978.81x = 104,216,542,007,255.22
  5. Step 5: Solve for x
    x = 104,216,542,007,255.22/11,688,978.81
  6. Step 6: Final answer
    x = 8,915,795.27

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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.