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Finding the Fourth Proportional to 209,978.51, 314,968.95 and 52,206.98

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Solution

The fourth proportional to 209,978.51, 314,968.95 and 52,206.98 is: 78,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,978.51 : 314,968.95 = 52,206.98 : x
  2. Step 2: Convert to fraction form
    209,978.51/314,968.95 = 52,206.98/x
  3. Step 3: Cross multiply
    209,978.51x = 314,968.95 × 52,206.98
  4. Step 4: Simplify right side
    209,978.51x = 16,443,576,098.43
  5. Step 5: Solve for x
    x = 16,443,576,098.43/209,978.51
  6. Step 6: Final answer
    x = 78,310.76

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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.