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Finding the Fourth Proportional to 209,647.68, 314,467.71 and 51,876.15

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Solution

The fourth proportional to 209,647.68, 314,467.71 and 51,876.15 is: 77,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,647.68 : 314,467.71 = 51,876.15 : x
  2. Step 2: Convert to fraction form
    209,647.68/314,467.71 = 51,876.15/x
  3. Step 3: Cross multiply
    209,647.68x = 314,467.71 × 51,876.15
  4. Step 4: Simplify right side
    209,647.68x = 16,313,374,094.12
  5. Step 5: Solve for x
    x = 16,313,374,094.12/209,647.68
  6. Step 6: Final answer
    x = 77,813.28

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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.