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Finding the Fourth Proportional to 89,129.72, 122,972.64 and 50,888

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Solution

The fourth proportional to 89,129.72, 122,972.64 and 50,888 is: 70,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,129.72 : 122,972.64 = 50,888 : x
  2. Step 2: Convert to fraction form
    89,129.72/122,972.64 = 50,888/x
  3. Step 3: Cross multiply
    89,129.72x = 122,972.64 × 50,888
  4. Step 4: Simplify right side
    89,129.72x = 6,257,831,704.32
  5. Step 5: Solve for x
    x = 6,257,831,704.32/89,129.72
  6. Step 6: Final answer
    x = 70,210.38

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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.