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Finding the Fourth Proportional to 208,205.88, 287,326.40 and 112,714.60

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Solution

The fourth proportional to 208,205.88, 287,326.40 and 112,714.60 is: 155,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205.88 : 287,326.40 = 112,714.60 : x
  2. Step 2: Convert to fraction form
    208,205.88/287,326.40 = 112,714.60/x
  3. Step 3: Cross multiply
    208,205.88x = 287,326.40 × 112,714.60
  4. Step 4: Simplify right side
    208,205.88x = 32,385,880,245.44
  5. Step 5: Solve for x
    x = 32,385,880,245.44/208,205.88
  6. Step 6: Final answer
    x = 155,547.39

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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.