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Finding the Fourth Proportional to 209,978.64, 314,968.20 and 52,207.11

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Solution

The fourth proportional to 209,978.64, 314,968.20 and 52,207.11 is: 78,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,978.64 : 314,968.20 = 52,207.11 : x
  2. Step 2: Convert to fraction form
    209,978.64/314,968.20 = 52,207.11/x
  3. Step 3: Cross multiply
    209,978.64x = 314,968.20 × 52,207.11
  4. Step 4: Simplify right side
    209,978.64x = 16,443,579,268.13
  5. Step 5: Solve for x
    x = 16,443,579,268.13/209,978.64
  6. Step 6: Final answer
    x = 78,310.72

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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.