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Finding the Fourth Proportional to 212,804.82, 319,280.13 and 72,661.86

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Solution

The fourth proportional to 212,804.82, 319,280.13 and 72,661.86 is: 109,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,804.82 : 319,280.13 = 72,661.86 : x
  2. Step 2: Convert to fraction form
    212,804.82/319,280.13 = 72,661.86/x
  3. Step 3: Cross multiply
    212,804.82x = 319,280.13 × 72,661.86
  4. Step 4: Simplify right side
    212,804.82x = 23,199,488,106.84
  5. Step 5: Solve for x
    x = 23,199,488,106.84/212,804.82
  6. Step 6: Final answer
    x = 109,017.68

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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.