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Finding the Fourth Proportional to 162,391.46, 243,587.19 and 57,185.78

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Solution

The fourth proportional to 162,391.46, 243,587.19 and 57,185.78 is: 85,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,391.46 : 243,587.19 = 57,185.78 : x
  2. Step 2: Convert to fraction form
    162,391.46/243,587.19 = 57,185.78/x
  3. Step 3: Cross multiply
    162,391.46x = 243,587.19 × 57,185.78
  4. Step 4: Simplify right side
    162,391.46x = 13,929,723,458.16
  5. Step 5: Solve for x
    x = 13,929,723,458.16/162,391.46
  6. Step 6: Final answer
    x = 85,778.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.