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Finding the Fourth Proportional to 71,820,019.80, 100,803,119.40 and 71,820,019.80

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Solution

The fourth proportional to 71,820,019.80, 100,803,119.40 and 71,820,019.80 is: 100,803,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,820,019.80 : 100,803,119.40 = 71,820,019.80 : x
  2. Step 2: Convert to fraction form
    71,820,019.80/100,803,119.40 = 71,820,019.80/x
  3. Step 3: Cross multiply
    71,820,019.80x = 100,803,119.40 × 71,820,019.80
  4. Step 4: Simplify right side
    71,820,019.80x = 7,239,682,031,209,764
  5. Step 5: Solve for x
    x = 7,239,682,031,209,764/71,820,019.80
  6. Step 6: Final answer
    x = 100,803,119.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.