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Finding the Fourth Proportional to 209,464, 314,191.32 and 51,693.82

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Solution

The fourth proportional to 209,464, 314,191.32 and 51,693.82 is: 77,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,464 : 314,191.32 = 51,693.82 : x
  2. Step 2: Convert to fraction form
    209,464/314,191.32 = 51,693.82/x
  3. Step 3: Cross multiply
    209,464x = 314,191.32 × 51,693.82
  4. Step 4: Simplify right side
    209,464x = 16,241,749,541.64
  5. Step 5: Solve for x
    x = 16,241,749,541.64/209,464
  6. Step 6: Final answer
    x = 77,539.58

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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.