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Finding the Fourth Proportional to 120,210.30, 165,883.32 and 65,751.66

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Solution

The fourth proportional to 120,210.30, 165,883.32 and 65,751.66 is: 90,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,210.30 : 165,883.32 = 65,751.66 : x
  2. Step 2: Convert to fraction form
    120,210.30/165,883.32 = 65,751.66/x
  3. Step 3: Cross multiply
    120,210.30x = 165,883.32 × 65,751.66
  4. Step 4: Simplify right side
    120,210.30x = 10,907,103,656.31
  5. Step 5: Solve for x
    x = 10,907,103,656.31/120,210.30
  6. Step 6: Final answer
    x = 90,733.52

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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.