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Finding the Fourth Proportional to 100,914.40, 151,152.90 and 83,418.40

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Solution

The fourth proportional to 100,914.40, 151,152.90 and 83,418.40 is: 124,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,914.40 : 151,152.90 = 83,418.40 : x
  2. Step 2: Convert to fraction form
    100,914.40/151,152.90 = 83,418.40/x
  3. Step 3: Cross multiply
    100,914.40x = 151,152.90 × 83,418.40
  4. Step 4: Simplify right side
    100,914.40x = 12,608,933,073.36
  5. Step 5: Solve for x
    x = 12,608,933,073.36/100,914.40
  6. Step 6: Final answer
    x = 124,946.82

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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.