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Finding the Fourth Proportional to 210,913.54, 315,972.80 and 104,172.54

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Solution

The fourth proportional to 210,913.54, 315,972.80 and 104,172.54 is: 156,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,913.54 : 315,972.80 = 104,172.54 : x
  2. Step 2: Convert to fraction form
    210,913.54/315,972.80 = 104,172.54/x
  3. Step 3: Cross multiply
    210,913.54x = 315,972.80 × 104,172.54
  4. Step 4: Simplify right side
    210,913.54x = 32,915,689,146.91
  5. Step 5: Solve for x
    x = 32,915,689,146.91/210,913.54
  6. Step 6: Final answer
    x = 156,062.48

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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.