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Finding the Fourth Proportional to 208,847.52, 288,210.60 and 113,354.40

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Solution

The fourth proportional to 208,847.52, 288,210.60 and 113,354.40 is: 156,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,847.52 : 288,210.60 = 113,354.40 : x
  2. Step 2: Convert to fraction form
    208,847.52/288,210.60 = 113,354.40/x
  3. Step 3: Cross multiply
    208,847.52x = 288,210.60 × 113,354.40
  4. Step 4: Simplify right side
    208,847.52x = 32,669,939,636.64
  5. Step 5: Solve for x
    x = 32,669,939,636.64/208,847.52
  6. Step 6: Final answer
    x = 156,429.63

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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.