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Finding the Fourth Proportional to 208,165.77, 287,270.87 and 112,674.51

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Solution

The fourth proportional to 208,165.77, 287,270.87 and 112,674.51 is: 155,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,165.77 : 287,270.87 = 112,674.51 : x
  2. Step 2: Convert to fraction form
    208,165.77/287,270.87 = 112,674.51/x
  3. Step 3: Cross multiply
    208,165.77x = 287,270.87 × 112,674.51
  4. Step 4: Simplify right side
    208,165.77x = 32,368,103,951.15
  5. Step 5: Solve for x
    x = 32,368,103,951.15/208,165.77
  6. Step 6: Final answer
    x = 155,491.96

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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.