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Finding the Fourth Proportional to 208,592.18, 287,859.11 and 113,099.12

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Solution

The fourth proportional to 208,592.18, 287,859.11 and 113,099.12 is: 156,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,592.18 : 287,859.11 = 113,099.12 : x
  2. Step 2: Convert to fraction form
    208,592.18/287,859.11 = 113,099.12/x
  3. Step 3: Cross multiply
    208,592.18x = 287,859.11 × 113,099.12
  4. Step 4: Simplify right side
    208,592.18x = 32,556,610,020.19
  5. Step 5: Solve for x
    x = 32,556,610,020.19/208,592.18
  6. Step 6: Final answer
    x = 156,077.81

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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.