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Finding the Fourth Proportional to 258,714.20, 388,135.38 and 123,880.87

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Solution

The fourth proportional to 258,714.20, 388,135.38 and 123,880.87 is: 185,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,714.20 : 388,135.38 = 123,880.87 : x
  2. Step 2: Convert to fraction form
    258,714.20/388,135.38 = 123,880.87/x
  3. Step 3: Cross multiply
    258,714.20x = 388,135.38 × 123,880.87
  4. Step 4: Simplify right side
    258,714.20x = 48,082,547,452.13
  5. Step 5: Solve for x
    x = 48,082,547,452.13/258,714.20
  6. Step 6: Final answer
    x = 185,851.98

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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.