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Finding the Fourth Proportional to 281,973.80, 389,123.92 and 152,912.22

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Solution

The fourth proportional to 281,973.80, 389,123.92 and 152,912.22 is: 211,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,973.80 : 389,123.92 = 152,912.22 : x
  2. Step 2: Convert to fraction form
    281,973.80/389,123.92 = 152,912.22/x
  3. Step 3: Cross multiply
    281,973.80x = 389,123.92 × 152,912.22
  4. Step 4: Simplify right side
    281,973.80x = 59,501,802,462.30
  5. Step 5: Solve for x
    x = 59,501,802,462.30/281,973.80
  6. Step 6: Final answer
    x = 211,018.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.