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Finding the Fourth Proportional to 51,957.76, 77,994.88 and 20,814.72

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Solution

The fourth proportional to 51,957.76, 77,994.88 and 20,814.72 is: 31,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,957.76 : 77,994.88 = 20,814.72 : x
  2. Step 2: Convert to fraction form
    51,957.76/77,994.88 = 20,814.72/x
  3. Step 3: Cross multiply
    51,957.76x = 77,994.88 × 20,814.72
  4. Step 4: Simplify right side
    51,957.76x = 1,623,441,588.63
  5. Step 5: Solve for x
    x = 1,623,441,588.63/51,957.76
  6. Step 6: Final answer
    x = 31,245.41

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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.