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Finding the Fourth Proportional to 152,635, 210,636.32 and 85,567

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Solution

The fourth proportional to 152,635, 210,636.32 and 85,567 is: 118,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,635 : 210,636.32 = 85,567 : x
  2. Step 2: Convert to fraction form
    152,635/210,636.32 = 85,567/x
  3. Step 3: Cross multiply
    152,635x = 210,636.32 × 85,567
  4. Step 4: Simplify right side
    152,635x = 18,023,517,993.44
  5. Step 5: Solve for x
    x = 18,023,517,993.44/152,635
  6. Step 6: Final answer
    x = 118,082.47

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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.