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Finding the Fourth Proportional to 142,965, 214,447.50 and 97,941.96

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Solution

The fourth proportional to 142,965, 214,447.50 and 97,941.96 is: 146,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,965 : 214,447.50 = 97,941.96 : x
  2. Step 2: Convert to fraction form
    142,965/214,447.50 = 97,941.96/x
  3. Step 3: Cross multiply
    142,965x = 214,447.50 × 97,941.96
  4. Step 4: Simplify right side
    142,965x = 21,003,408,467.10
  5. Step 5: Solve for x
    x = 21,003,408,467.10/142,965
  6. Step 6: Final answer
    x = 146,912.94

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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.