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Finding the Fourth Proportional to 208,870.83, 313,357.28 and 66,716.13

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Solution

The fourth proportional to 208,870.83, 313,357.28 and 66,716.13 is: 100,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,870.83 : 313,357.28 = 66,716.13 : x
  2. Step 2: Convert to fraction form
    208,870.83/313,357.28 = 66,716.13/x
  3. Step 3: Cross multiply
    208,870.83x = 313,357.28 × 66,716.13
  4. Step 4: Simplify right side
    208,870.83x = 20,905,984,695.35
  5. Step 5: Solve for x
    x = 20,905,984,695.35/208,870.83
  6. Step 6: Final answer
    x = 100,090.49

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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.