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Finding the Fourth Proportional to 51,872.64, 77,809.02 and 14,432.73

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Solution

The fourth proportional to 51,872.64, 77,809.02 and 14,432.73 is: 21,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,872.64 : 77,809.02 = 14,432.73 : x
  2. Step 2: Convert to fraction form
    51,872.64/77,809.02 = 14,432.73/x
  3. Step 3: Cross multiply
    51,872.64x = 77,809.02 × 14,432.73
  4. Step 4: Simplify right side
    51,872.64x = 1,122,996,577.22
  5. Step 5: Solve for x
    x = 1,122,996,577.22/51,872.64
  6. Step 6: Final answer
    x = 21,649.11

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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.