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Finding the Fourth Proportional to 77,689.98, 107,208 and 45,847.26

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Solution

The fourth proportional to 77,689.98, 107,208 and 45,847.26 is: 63,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,689.98 : 107,208 = 45,847.26 : x
  2. Step 2: Convert to fraction form
    77,689.98/107,208 = 45,847.26/x
  3. Step 3: Cross multiply
    77,689.98x = 107,208 × 45,847.26
  4. Step 4: Simplify right side
    77,689.98x = 4,915,193,050.08
  5. Step 5: Solve for x
    x = 4,915,193,050.08/77,689.98
  6. Step 6: Final answer
    x = 63,266.76

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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.