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Finding the Fourth Proportional to 208,531, 287,771.16 and 113,035.24

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Solution

The fourth proportional to 208,531, 287,771.16 and 113,035.24 is: 155,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,531 : 287,771.16 = 113,035.24 : x
  2. Step 2: Convert to fraction form
    208,531/287,771.16 = 113,035.24/x
  3. Step 3: Cross multiply
    208,531x = 287,771.16 × 113,035.24
  4. Step 4: Simplify right side
    208,531x = 32,528,282,135.68
  5. Step 5: Solve for x
    x = 32,528,282,135.68/208,531
  6. Step 6: Final answer
    x = 155,987.75

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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.