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Finding the Fourth Proportional to 219,747, 329,603.94 and 69,981.24

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Solution

The fourth proportional to 219,747, 329,603.94 and 69,981.24 is: 104,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,747 : 329,603.94 = 69,981.24 : x
  2. Step 2: Convert to fraction form
    219,747/329,603.94 = 69,981.24/x
  3. Step 3: Cross multiply
    219,747x = 329,603.94 × 69,981.24
  4. Step 4: Simplify right side
    219,747x = 23,066,092,430.09
  5. Step 5: Solve for x
    x = 23,066,092,430.09/219,747
  6. Step 6: Final answer
    x = 104,966.59

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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.