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Finding the Fourth Proportional to 10,676,998.80, 15,978,173.40 and 9,781,203.60

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Solution

The fourth proportional to 10,676,998.80, 15,978,173.40 and 9,781,203.60 is: 14,637,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676,998.80 : 15,978,173.40 = 9,781,203.60 : x
  2. Step 2: Convert to fraction form
    10,676,998.80/15,978,173.40 = 9,781,203.60/x
  3. Step 3: Cross multiply
    10,676,998.80x = 15,978,173.40 × 9,781,203.60
  4. Step 4: Simplify right side
    10,676,998.80x = 156,285,767,181,504.25
  5. Step 5: Solve for x
    x = 156,285,767,181,504.25/10,676,998.80
  6. Step 6: Final answer
    x = 14,637,612.13

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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.