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Finding the Fourth Proportional to 100,967.85, 139,370.63 and 69,241.77

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Solution

The fourth proportional to 100,967.85, 139,370.63 and 69,241.77 is: 95,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,967.85 : 139,370.63 = 69,241.77 : x
  2. Step 2: Convert to fraction form
    100,967.85/139,370.63 = 69,241.77/x
  3. Step 3: Cross multiply
    100,967.85x = 139,370.63 × 69,241.77
  4. Step 4: Simplify right side
    100,967.85x = 9,650,268,761.01
  5. Step 5: Solve for x
    x = 9,650,268,761.01/100,967.85
  6. Step 6: Final answer
    x = 95,577.64

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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.