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Finding the Fourth Proportional to 257,071.88, 385,767.48 and 123,965.84

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Solution

The fourth proportional to 257,071.88, 385,767.48 and 123,965.84 is: 186,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,071.88 : 385,767.48 = 123,965.84 : x
  2. Step 2: Convert to fraction form
    257,071.88/385,767.48 = 123,965.84/x
  3. Step 3: Cross multiply
    257,071.88x = 385,767.48 × 123,965.84
  4. Step 4: Simplify right side
    257,071.88x = 47,821,989,702.88
  5. Step 5: Solve for x
    x = 47,821,989,702.88/257,071.88
  6. Step 6: Final answer
    x = 186,025.75

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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.