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Finding the Fourth Proportional to 76,256.64, 114,384.94 and 20,852.64

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Solution

The fourth proportional to 76,256.64, 114,384.94 and 20,852.64 is: 31,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,256.64 : 114,384.94 = 20,852.64 : x
  2. Step 2: Convert to fraction form
    76,256.64/114,384.94 = 20,852.64/x
  3. Step 3: Cross multiply
    76,256.64x = 114,384.94 × 20,852.64
  4. Step 4: Simplify right side
    76,256.64x = 2,385,227,975.24
  5. Step 5: Solve for x
    x = 2,385,227,975.24/76,256.64
  6. Step 6: Final answer
    x = 31,278.95

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1.5x scale

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.