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Finding the Fourth Proportional to 208,847.72, 288,210.17 and 113,354.45

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Solution

The fourth proportional to 208,847.72, 288,210.17 and 113,354.45 is: 156,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,847.72 : 288,210.17 = 113,354.45 : x
  2. Step 2: Convert to fraction form
    208,847.72/288,210.17 = 113,354.45/x
  3. Step 3: Cross multiply
    208,847.72x = 288,210.17 × 113,354.45
  4. Step 4: Simplify right side
    208,847.72x = 32,669,905,304.76
  5. Step 5: Solve for x
    x = 32,669,905,304.76/208,847.72
  6. Step 6: Final answer
    x = 156,429.31

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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.