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Finding the Fourth Proportional to 208,115, 287,198.70 and 112,621.70

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Solution

The fourth proportional to 208,115, 287,198.70 and 112,621.70 is: 155,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,115 : 287,198.70 = 112,621.70 : x
  2. Step 2: Convert to fraction form
    208,115/287,198.70 = 112,621.70/x
  3. Step 3: Cross multiply
    208,115x = 287,198.70 × 112,621.70
  4. Step 4: Simplify right side
    208,115x = 32,344,805,831.79
  5. Step 5: Solve for x
    x = 32,344,805,831.79/208,115
  6. Step 6: Final answer
    x = 155,417.95

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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.