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Finding the Fourth Proportional to 208,851.85, 288,215.88 and 113,358.59

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Solution

The fourth proportional to 208,851.85, 288,215.88 and 113,358.59 is: 156,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,851.85 : 288,215.88 = 113,358.59 : x
  2. Step 2: Convert to fraction form
    208,851.85/288,215.88 = 113,358.59/x
  3. Step 3: Cross multiply
    208,851.85x = 288,215.88 × 113,358.59
  4. Step 4: Simplify right side
    208,851.85x = 32,671,745,772.41
  5. Step 5: Solve for x
    x = 32,671,745,772.41/208,851.85
  6. Step 6: Final answer
    x = 156,435.03

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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.