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Finding the Fourth Proportional to 9,720,908.80, 14,581,363.20 and 8,162,015.20

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Solution

The fourth proportional to 9,720,908.80, 14,581,363.20 and 8,162,015.20 is: 12,243,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720,908.80 : 14,581,363.20 = 8,162,015.20 : x
  2. Step 2: Convert to fraction form
    9,720,908.80/14,581,363.20 = 8,162,015.20/x
  3. Step 3: Cross multiply
    9,720,908.80x = 14,581,363.20 × 8,162,015.20
  4. Step 4: Simplify right side
    9,720,908.80x = 119,013,308,075,120.64
  5. Step 5: Solve for x
    x = 119,013,308,075,120.64/9,720,908.80
  6. Step 6: Final answer
    x = 12,243,022.80

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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.