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Finding the Fourth Proportional to 151,281.65, 208,766.93 and 83,297.22

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Solution

The fourth proportional to 151,281.65, 208,766.93 and 83,297.22 is: 114,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,281.65 : 208,766.93 = 83,297.22 : x
  2. Step 2: Convert to fraction form
    151,281.65/208,766.93 = 83,297.22/x
  3. Step 3: Cross multiply
    151,281.65x = 208,766.93 × 83,297.22
  4. Step 4: Simplify right side
    151,281.65x = 17,389,704,480.45
  5. Step 5: Solve for x
    x = 17,389,704,480.45/151,281.65
  6. Step 6: Final answer
    x = 114,949.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.