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Finding the Fourth Proportional to 109,357.52, 149,929.13 and 107,364.60

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Solution

The fourth proportional to 109,357.52, 149,929.13 and 107,364.60 is: 147,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,357.52 : 149,929.13 = 107,364.60 : x
  2. Step 2: Convert to fraction form
    109,357.52/149,929.13 = 107,364.60/x
  3. Step 3: Cross multiply
    109,357.52x = 149,929.13 × 107,364.60
  4. Step 4: Simplify right side
    109,357.52x = 16,097,080,533.98
  5. Step 5: Solve for x
    x = 16,097,080,533.98/109,357.52
  6. Step 6: Final answer
    x = 147,196.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.