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Finding the Fourth Proportional to 10,917,009.20, 16,375,513.80 and 6,878,057.60

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Solution

The fourth proportional to 10,917,009.20, 16,375,513.80 and 6,878,057.60 is: 10,317,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917,009.20 : 16,375,513.80 = 6,878,057.60 : x
  2. Step 2: Convert to fraction form
    10,917,009.20/16,375,513.80 = 6,878,057.60/x
  3. Step 3: Cross multiply
    10,917,009.20x = 16,375,513.80 × 6,878,057.60
  4. Step 4: Simplify right side
    10,917,009.20x = 112,631,727,145,994.88
  5. Step 5: Solve for x
    x = 112,631,727,145,994.88/10,917,009.20
  6. Step 6: Final answer
    x = 10,317,086.40

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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.