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Finding the Fourth Proportional to 211,601.86, 317,541.03 and 100,802.50

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Solution

The fourth proportional to 211,601.86, 317,541.03 and 100,802.50 is: 151,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,601.86 : 317,541.03 = 100,802.50 : x
  2. Step 2: Convert to fraction form
    211,601.86/317,541.03 = 100,802.50/x
  3. Step 3: Cross multiply
    211,601.86x = 317,541.03 × 100,802.50
  4. Step 4: Simplify right side
    211,601.86x = 32,008,929,676.58
  5. Step 5: Solve for x
    x = 32,008,929,676.58/211,601.86
  6. Step 6: Final answer
    x = 151,269.60

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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.