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Finding the Fourth Proportional to 208,076.94, 287,144.64 and 112,582.26

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Solution

The fourth proportional to 208,076.94, 287,144.64 and 112,582.26 is: 155,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,076.94 : 287,144.64 = 112,582.26 : x
  2. Step 2: Convert to fraction form
    208,076.94/287,144.64 = 112,582.26/x
  3. Step 3: Cross multiply
    208,076.94x = 287,144.64 × 112,582.26
  4. Step 4: Simplify right side
    208,076.94x = 32,327,392,518.09
  5. Step 5: Solve for x
    x = 32,327,392,518.09/208,076.94
  6. Step 6: Final answer
    x = 155,362.69

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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.