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Finding the Fourth Proportional to 208,506.08, 287,738.90 and 113,012.68

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Solution

The fourth proportional to 208,506.08, 287,738.90 and 113,012.68 is: 155,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,506.08 : 287,738.90 = 113,012.68 : x
  2. Step 2: Convert to fraction form
    208,506.08/287,738.90 = 113,012.68/x
  3. Step 3: Cross multiply
    208,506.08x = 287,738.90 × 113,012.68
  4. Step 4: Simplify right side
    208,506.08x = 32,518,144,229.25
  5. Step 5: Solve for x
    x = 32,518,144,229.25/208,506.08
  6. Step 6: Final answer
    x = 155,957.77

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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.