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Finding the Fourth Proportional to 208,885.26, 288,262.53 and 118,258.71

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Solution

The fourth proportional to 208,885.26, 288,262.53 and 118,258.71 is: 163,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,885.26 : 288,262.53 = 118,258.71 : x
  2. Step 2: Convert to fraction form
    208,885.26/288,262.53 = 118,258.71/x
  3. Step 3: Cross multiply
    208,885.26x = 288,262.53 × 118,258.71
  4. Step 4: Simplify right side
    208,885.26x = 34,089,555,957.76
  5. Step 5: Solve for x
    x = 34,089,555,957.76/208,885.26
  6. Step 6: Final answer
    x = 163,197.52

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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.