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Finding the Fourth Proportional to 211,298.96, 316,946.04 and 51,375.80

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Solution

The fourth proportional to 211,298.96, 316,946.04 and 51,375.80 is: 77,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,298.96 : 316,946.04 = 51,375.80 : x
  2. Step 2: Convert to fraction form
    211,298.96/316,946.04 = 51,375.80/x
  3. Step 3: Cross multiply
    211,298.96x = 316,946.04 × 51,375.80
  4. Step 4: Simplify right side
    211,298.96x = 16,283,356,361.83
  5. Step 5: Solve for x
    x = 16,283,356,361.83/211,298.96
  6. Step 6: Final answer
    x = 77,063.12

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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.