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Finding the Fourth Proportional to 208,408.95, 287,604.62 and 112,915.57

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Solution

The fourth proportional to 208,408.95, 287,604.62 and 112,915.57 is: 155,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,408.95 : 287,604.62 = 112,915.57 : x
  2. Step 2: Convert to fraction form
    208,408.95/287,604.62 = 112,915.57/x
  3. Step 3: Cross multiply
    208,408.95x = 287,604.62 × 112,915.57
  4. Step 4: Simplify right side
    208,408.95x = 32,475,039,916.19
  5. Step 5: Solve for x
    x = 32,475,039,916.19/208,408.95
  6. Step 6: Final answer
    x = 155,823.63

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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.