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Finding the Fourth Proportional to 208,518.30, 287,755.74 and 113,024.57

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Solution

The fourth proportional to 208,518.30, 287,755.74 and 113,024.57 is: 155,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,518.30 : 287,755.74 = 113,024.57 : x
  2. Step 2: Convert to fraction form
    208,518.30/287,755.74 = 113,024.57/x
  3. Step 3: Cross multiply
    208,518.30x = 287,755.74 × 113,024.57
  4. Step 4: Simplify right side
    208,518.30x = 32,523,467,339.75
  5. Step 5: Solve for x
    x = 32,523,467,339.75/208,518.30
  6. Step 6: Final answer
    x = 155,974.16

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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.