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Finding the Fourth Proportional to 34,205.40, 51,210.90 and 30,706.20

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Solution

The fourth proportional to 34,205.40, 51,210.90 and 30,706.20 is: 45,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.40 : 51,210.90 = 30,706.20 : x
  2. Step 2: Convert to fraction form
    34,205.40/51,210.90 = 30,706.20/x
  3. Step 3: Cross multiply
    34,205.40x = 51,210.90 × 30,706.20
  4. Step 4: Simplify right side
    34,205.40x = 1,572,492,137.58
  5. Step 5: Solve for x
    x = 1,572,492,137.58/34,205.40
  6. Step 6: Final answer
    x = 45,972.04

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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.