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Finding the Fourth Proportional to 208,555.50, 287,804.88 and 113,059.74

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Solution

The fourth proportional to 208,555.50, 287,804.88 and 113,059.74 is: 156,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,555.50 : 287,804.88 = 113,059.74 : x
  2. Step 2: Convert to fraction form
    208,555.50/287,804.88 = 113,059.74/x
  3. Step 3: Cross multiply
    208,555.50x = 287,804.88 × 113,059.74
  4. Step 4: Simplify right side
    208,555.50x = 32,539,144,903.53
  5. Step 5: Solve for x
    x = 32,539,144,903.53/208,555.50
  6. Step 6: Final answer
    x = 156,021.51

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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.