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Finding the Fourth Proportional to 208,439.37, 287,647.33 and 112,946.24

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Solution

The fourth proportional to 208,439.37, 287,647.33 and 112,946.24 is: 155,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,439.37 : 287,647.33 = 112,946.24 : x
  2. Step 2: Convert to fraction form
    208,439.37/287,647.33 = 112,946.24/x
  3. Step 3: Cross multiply
    208,439.37x = 287,647.33 × 112,946.24
  4. Step 4: Simplify right side
    208,439.37x = 32,488,684,369.54
  5. Step 5: Solve for x
    x = 32,488,684,369.54/208,439.37
  6. Step 6: Final answer
    x = 155,866.35

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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.