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Finding the Fourth Proportional to 208,862.88, 288,231.06 and 113,369.64

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Solution

The fourth proportional to 208,862.88, 288,231.06 and 113,369.64 is: 156,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,862.88 : 288,231.06 = 113,369.64 : x
  2. Step 2: Convert to fraction form
    208,862.88/288,231.06 = 113,369.64/x
  3. Step 3: Cross multiply
    208,862.88x = 288,231.06 × 113,369.64
  4. Step 4: Simplify right side
    208,862.88x = 32,676,651,509.02
  5. Step 5: Solve for x
    x = 32,676,651,509.02/208,862.88
  6. Step 6: Final answer
    x = 156,450.26

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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.