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Finding the Fourth Proportional to 208,870.16, 313,311.32 and 51,098.57

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Solution

The fourth proportional to 208,870.16, 313,311.32 and 51,098.57 is: 76,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,870.16 : 313,311.32 = 51,098.57 : x
  2. Step 2: Convert to fraction form
    208,870.16/313,311.32 = 51,098.57/x
  3. Step 3: Cross multiply
    208,870.16x = 313,311.32 × 51,098.57
  4. Step 4: Simplify right side
    208,870.16x = 16,009,760,161.32
  5. Step 5: Solve for x
    x = 16,009,760,161.32/208,870.16
  6. Step 6: Final answer
    x = 76,649.34

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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.