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Finding the Fourth Proportional to 208,847.70, 288,210.10 and 113,354.40

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Solution

The fourth proportional to 208,847.70, 288,210.10 and 113,354.40 is: 156,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,847.70 : 288,210.10 = 113,354.40 : x
  2. Step 2: Convert to fraction form
    208,847.70/288,210.10 = 113,354.40/x
  3. Step 3: Cross multiply
    208,847.70x = 288,210.10 × 113,354.40
  4. Step 4: Simplify right side
    208,847.70x = 32,669,882,959.44
  5. Step 5: Solve for x
    x = 32,669,882,959.44/208,847.70
  6. Step 6: Final answer
    x = 156,429.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.