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Finding the Fourth Proportional to 100,107.40, 150,116.82 and 29,973.64

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Solution

The fourth proportional to 100,107.40, 150,116.82 and 29,973.64 is: 44,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,107.40 : 150,116.82 = 29,973.64 : x
  2. Step 2: Convert to fraction form
    100,107.40/150,116.82 = 29,973.64/x
  3. Step 3: Cross multiply
    100,107.40x = 150,116.82 × 29,973.64
  4. Step 4: Simplify right side
    100,107.40x = 4,499,547,520.62
  5. Step 5: Solve for x
    x = 4,499,547,520.62/100,107.40
  6. Step 6: Final answer
    x = 44,947.20

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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.