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Finding the Fourth Proportional to 153,771.44, 212,211.96 and 86,702

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Solution

The fourth proportional to 153,771.44, 212,211.96 and 86,702 is: 119,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,771.44 : 212,211.96 = 86,702 : x
  2. Step 2: Convert to fraction form
    153,771.44/212,211.96 = 86,702/x
  3. Step 3: Cross multiply
    153,771.44x = 212,211.96 × 86,702
  4. Step 4: Simplify right side
    153,771.44x = 18,399,201,355.92
  5. Step 5: Solve for x
    x = 18,399,201,355.92/153,771.44
  6. Step 6: Final answer
    x = 119,652.92

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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.