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Finding the Fourth Proportional to 254,681.80, 382,022.70 and 77,180.02

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Solution

The fourth proportional to 254,681.80, 382,022.70 and 77,180.02 is: 115,770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,681.80 : 382,022.70 = 77,180.02 : x
  2. Step 2: Convert to fraction form
    254,681.80/382,022.70 = 77,180.02/x
  3. Step 3: Cross multiply
    254,681.80x = 382,022.70 × 77,180.02
  4. Step 4: Simplify right side
    254,681.80x = 29,484,519,626.45
  5. Step 5: Solve for x
    x = 29,484,519,626.45/254,681.80
  6. Step 6: Final answer
    x = 115,770.03

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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.