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Finding the Fourth Proportional to 253,084.42, 379,482.85 and 103,149.10

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Solution

The fourth proportional to 253,084.42, 379,482.85 and 103,149.10 is: 154,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,084.42 : 379,482.85 = 103,149.10 : x
  2. Step 2: Convert to fraction form
    253,084.42/379,482.85 = 103,149.10/x
  3. Step 3: Cross multiply
    253,084.42x = 379,482.85 × 103,149.10
  4. Step 4: Simplify right side
    253,084.42x = 39,143,314,442.94
  5. Step 5: Solve for x
    x = 39,143,314,442.94/253,084.42
  6. Step 6: Final answer
    x = 154,665.05

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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.