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Finding the Fourth Proportional to 208,851.70, 313,277.55 and 51,078.10

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Solution

The fourth proportional to 208,851.70, 313,277.55 and 51,078.10 is: 76,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,851.70 : 313,277.55 = 51,078.10 : x
  2. Step 2: Convert to fraction form
    208,851.70/313,277.55 = 51,078.10/x
  3. Step 3: Cross multiply
    208,851.70x = 313,277.55 × 51,078.10
  4. Step 4: Simplify right side
    208,851.70x = 16,001,622,026.66
  5. Step 5: Solve for x
    x = 16,001,622,026.66/208,851.70
  6. Step 6: Final answer
    x = 76,617.15

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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.