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Finding the Fourth Proportional to 149,033.76, 205,670.48 and 81,967.52

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Solution

The fourth proportional to 149,033.76, 205,670.48 and 81,967.52 is: 113,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,033.76 : 205,670.48 = 81,967.52 : x
  2. Step 2: Convert to fraction form
    149,033.76/205,670.48 = 81,967.52/x
  3. Step 3: Cross multiply
    149,033.76x = 205,670.48 × 81,967.52
  4. Step 4: Simplify right side
    149,033.76x = 16,858,299,182.81
  5. Step 5: Solve for x
    x = 16,858,299,182.81/149,033.76
  6. Step 6: Final answer
    x = 113,117.32

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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.