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Finding the Fourth Proportional to 85,885,643.45, 119,984,809.15 and 85,885,643.45

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Solution

The fourth proportional to 85,885,643.45, 119,984,809.15 and 85,885,643.45 is: 119,984,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,885,643.45 : 119,984,809.15 = 85,885,643.45 : x
  2. Step 2: Convert to fraction form
    85,885,643.45/119,984,809.15 = 85,885,643.45/x
  3. Step 3: Cross multiply
    85,885,643.45x = 119,984,809.15 × 85,885,643.45
  4. Step 4: Simplify right side
    85,885,643.45x = 10,304,972,538,073,198
  5. Step 5: Solve for x
    x = 10,304,972,538,073,198/85,885,643.45
  6. Step 6: Final answer
    x = 119,984,809.15

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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.