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Finding the Fourth Proportional to 171,728.64, 257,488.20 and 76,941.36

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Solution

The fourth proportional to 171,728.64, 257,488.20 and 76,941.36 is: 115,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,728.64 : 257,488.20 = 76,941.36 : x
  2. Step 2: Convert to fraction form
    171,728.64/257,488.20 = 76,941.36/x
  3. Step 3: Cross multiply
    171,728.64x = 257,488.20 × 76,941.36
  4. Step 4: Simplify right side
    171,728.64x = 19,811,492,291.95
  5. Step 5: Solve for x
    x = 19,811,492,291.95/171,728.64
  6. Step 6: Final answer
    x = 115,365.10

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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.