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Finding the Fourth Proportional to 254,920.65, 382,435.65 and 77,445.60

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Solution

The fourth proportional to 254,920.65, 382,435.65 and 77,445.60 is: 116,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,920.65 : 382,435.65 = 77,445.60 : x
  2. Step 2: Convert to fraction form
    254,920.65/382,435.65 = 77,445.60/x
  3. Step 3: Cross multiply
    254,920.65x = 382,435.65 × 77,445.60
  4. Step 4: Simplify right side
    254,920.65x = 29,617,958,375.64
  5. Step 5: Solve for x
    x = 29,617,958,375.64/254,920.65
  6. Step 6: Final answer
    x = 116,185.01

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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.