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Finding the Fourth Proportional to 257,146, 385,968.42 and 124,120

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Solution

The fourth proportional to 257,146, 385,968.42 and 124,120 is: 186,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,146 : 385,968.42 = 124,120 : x
  2. Step 2: Convert to fraction form
    257,146/385,968.42 = 124,120/x
  3. Step 3: Cross multiply
    257,146x = 385,968.42 × 124,120
  4. Step 4: Simplify right side
    257,146x = 47,906,400,290.40
  5. Step 5: Solve for x
    x = 47,906,400,290.40/257,146
  6. Step 6: Final answer
    x = 186,300.39

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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.