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Finding the Fourth Proportional to 208,208.56, 287,326.50 and 112,714.56

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Solution

The fourth proportional to 208,208.56, 287,326.50 and 112,714.56 is: 155,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,208.56 : 287,326.50 = 112,714.56 : x
  2. Step 2: Convert to fraction form
    208,208.56/287,326.50 = 112,714.56/x
  3. Step 3: Cross multiply
    208,208.56x = 287,326.50 × 112,714.56
  4. Step 4: Simplify right side
    208,208.56x = 32,385,880,023.84
  5. Step 5: Solve for x
    x = 32,385,880,023.84/208,208.56
  6. Step 6: Final answer
    x = 155,545.38

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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.