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Finding the Fourth Proportional to 69,853.98, 96,411.78 and 39,642.12

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Solution

The fourth proportional to 69,853.98, 96,411.78 and 39,642.12 is: 54,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,853.98 : 96,411.78 = 39,642.12 : x
  2. Step 2: Convert to fraction form
    69,853.98/96,411.78 = 39,642.12/x
  3. Step 3: Cross multiply
    69,853.98x = 96,411.78 × 39,642.12
  4. Step 4: Simplify right side
    69,853.98x = 3,821,967,352.17
  5. Step 5: Solve for x
    x = 3,821,967,352.17/69,853.98
  6. Step 6: Final answer
    x = 54,713.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.