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Finding the Fourth Proportional to 208,135.50, 287,226.99 and 112,642.89

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Solution

The fourth proportional to 208,135.50, 287,226.99 and 112,642.89 is: 155,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,135.50 : 287,226.99 = 112,642.89 : x
  2. Step 2: Convert to fraction form
    208,135.50/287,226.99 = 112,642.89/x
  3. Step 3: Cross multiply
    208,135.50x = 287,226.99 × 112,642.89
  4. Step 4: Simplify right side
    208,135.50x = 32,354,078,239.60
  5. Step 5: Solve for x
    x = 32,354,078,239.60/208,135.50
  6. Step 6: Final answer
    x = 155,447.19

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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.