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Finding the Fourth Proportional to 203,915.40, 305,803.38 and 77,525.16

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Solution

The fourth proportional to 203,915.40, 305,803.38 and 77,525.16 is: 116,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,915.40 : 305,803.38 = 77,525.16 : x
  2. Step 2: Convert to fraction form
    203,915.40/305,803.38 = 77,525.16/x
  3. Step 3: Cross multiply
    203,915.40x = 305,803.38 × 77,525.16
  4. Step 4: Simplify right side
    203,915.40x = 23,707,455,963.04
  5. Step 5: Solve for x
    x = 23,707,455,963.04/203,915.40
  6. Step 6: Final answer
    x = 116,261.23

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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.