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Finding the Fourth Proportional to 120,643.57, 180,965.36 and 65,347.57

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Solution

The fourth proportional to 120,643.57, 180,965.36 and 65,347.57 is: 98,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,643.57 : 180,965.36 = 65,347.57 : x
  2. Step 2: Convert to fraction form
    120,643.57/180,965.36 = 65,347.57/x
  3. Step 3: Cross multiply
    120,643.57x = 180,965.36 × 65,347.57
  4. Step 4: Simplify right side
    120,643.57x = 11,825,646,203.44
  5. Step 5: Solve for x
    x = 11,825,646,203.44/120,643.57
  6. Step 6: Final answer
    x = 98,021.36

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1.5x scale

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.