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Finding the Fourth Proportional to 219,472.25, 302,896.29 and 123,985.10

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Solution

The fourth proportional to 219,472.25, 302,896.29 and 123,985.10 is: 171,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,472.25 : 302,896.29 = 123,985.10 : x
  2. Step 2: Convert to fraction form
    219,472.25/302,896.29 = 123,985.10/x
  3. Step 3: Cross multiply
    219,472.25x = 302,896.29 × 123,985.10
  4. Step 4: Simplify right side
    219,472.25x = 37,554,626,323.67
  5. Step 5: Solve for x
    x = 37,554,626,323.67/219,472.25
  6. Step 6: Final answer
    x = 171,113.32

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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.