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Finding the Fourth Proportional to 218,973.88, 302,239.01 and 123,535.94

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Solution

The fourth proportional to 218,973.88, 302,239.01 and 123,535.94 is: 170,510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,973.88 : 302,239.01 = 123,535.94 : x
  2. Step 2: Convert to fraction form
    218,973.88/302,239.01 = 123,535.94/x
  3. Step 3: Cross multiply
    218,973.88x = 302,239.01 × 123,535.94
  4. Step 4: Simplify right side
    218,973.88x = 37,337,380,205.02
  5. Step 5: Solve for x
    x = 37,337,380,205.02/218,973.88
  6. Step 6: Final answer
    x = 170,510.66

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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.