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Finding the Fourth Proportional to 100,106.78, 150,115.88 and 29,973.02

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Solution

The fourth proportional to 100,106.78, 150,115.88 and 29,973.02 is: 44,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,106.78 : 150,115.88 = 29,973.02 : x
  2. Step 2: Convert to fraction form
    100,106.78/150,115.88 = 29,973.02/x
  3. Step 3: Cross multiply
    100,106.78x = 150,115.88 × 29,973.02
  4. Step 4: Simplify right side
    100,106.78x = 4,499,425,597.91
  5. Step 5: Solve for x
    x = 4,499,425,597.91/100,106.78
  6. Step 6: Final answer
    x = 44,946.26

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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.