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Finding the Fourth Proportional to 318,123.51, 477,172.80 and 107,761.44

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Solution

The fourth proportional to 318,123.51, 477,172.80 and 107,761.44 is: 161,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,123.51 : 477,172.80 = 107,761.44 : x
  2. Step 2: Convert to fraction form
    318,123.51/477,172.80 = 107,761.44/x
  3. Step 3: Cross multiply
    318,123.51x = 477,172.80 × 107,761.44
  4. Step 4: Simplify right side
    318,123.51x = 51,420,828,056.83
  5. Step 5: Solve for x
    x = 51,420,828,056.83/318,123.51
  6. Step 6: Final answer
    x = 161,637.94

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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.