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Finding the Fourth Proportional to 208,656.81, 313,009.70 and 66,452.27

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Solution

The fourth proportional to 208,656.81, 313,009.70 and 66,452.27 is: 99,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,656.81 : 313,009.70 = 66,452.27 : x
  2. Step 2: Convert to fraction form
    208,656.81/313,009.70 = 66,452.27/x
  3. Step 3: Cross multiply
    208,656.81x = 313,009.70 × 66,452.27
  4. Step 4: Simplify right side
    208,656.81x = 20,800,203,199.71
  5. Step 5: Solve for x
    x = 20,800,203,199.71/208,656.81
  6. Step 6: Final answer
    x = 99,686.19

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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.