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Finding the Fourth Proportional to 100,949.20, 151,423.80 and 30,828.40

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Solution

The fourth proportional to 100,949.20, 151,423.80 and 30,828.40 is: 46,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,949.20 : 151,423.80 = 30,828.40 : x
  2. Step 2: Convert to fraction form
    100,949.20/151,423.80 = 30,828.40/x
  3. Step 3: Cross multiply
    100,949.20x = 151,423.80 × 30,828.40
  4. Step 4: Simplify right side
    100,949.20x = 4,668,153,475.92
  5. Step 5: Solve for x
    x = 4,668,153,475.92/100,949.20
  6. Step 6: Final answer
    x = 46,242.60

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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.