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Finding the Fourth Proportional to 208,158, 287,257.50 and 112,664.67

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Solution

The fourth proportional to 208,158, 287,257.50 and 112,664.67 is: 155,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,158 : 287,257.50 = 112,664.67 : x
  2. Step 2: Convert to fraction form
    208,158/287,257.50 = 112,664.67/x
  3. Step 3: Cross multiply
    208,158x = 287,257.50 × 112,664.67
  4. Step 4: Simplify right side
    208,158x = 32,363,771,442.53
  5. Step 5: Solve for x
    x = 32,363,771,442.53/208,158
  6. Step 6: Final answer
    x = 155,476.95

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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.