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Finding the Fourth Proportional to 100,106.10, 150,159.06 and 70,680.06

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Solution

The fourth proportional to 100,106.10, 150,159.06 and 70,680.06 is: 106,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,106.10 : 150,159.06 = 70,680.06 : x
  2. Step 2: Convert to fraction form
    100,106.10/150,159.06 = 70,680.06/x
  3. Step 3: Cross multiply
    100,106.10x = 150,159.06 × 70,680.06
  4. Step 4: Simplify right side
    100,106.10x = 10,613,251,370.34
  5. Step 5: Solve for x
    x = 10,613,251,370.34/100,106.10
  6. Step 6: Final answer
    x = 106,020.03

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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.