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Finding the Fourth Proportional to 212,903.38, 319,406.37 and 79,784.81

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Solution

The fourth proportional to 212,903.38, 319,406.37 and 79,784.81 is: 119,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,903.38 : 319,406.37 = 79,784.81 : x
  2. Step 2: Convert to fraction form
    212,903.38/319,406.37 = 79,784.81/x
  3. Step 3: Cross multiply
    212,903.38x = 319,406.37 × 79,784.81
  4. Step 4: Simplify right side
    212,903.38x = 25,483,776,543.24
  5. Step 5: Solve for x
    x = 25,483,776,543.24/212,903.38
  6. Step 6: Final answer
    x = 119,696.44

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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.