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Finding the Fourth Proportional to 196,281.80, 294,422.70 and 102,816.20

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Solution

The fourth proportional to 196,281.80, 294,422.70 and 102,816.20 is: 154,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,281.80 : 294,422.70 = 102,816.20 : x
  2. Step 2: Convert to fraction form
    196,281.80/294,422.70 = 102,816.20/x
  3. Step 3: Cross multiply
    196,281.80x = 294,422.70 × 102,816.20
  4. Step 4: Simplify right side
    196,281.80x = 30,271,423,207.74
  5. Step 5: Solve for x
    x = 30,271,423,207.74/196,281.80
  6. Step 6: Final answer
    x = 154,224.30

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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.