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Finding the Fourth Proportional to 219,897, 329,828.94 and 70,131.24

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Solution

The fourth proportional to 219,897, 329,828.94 and 70,131.24 is: 105,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,897 : 329,828.94 = 70,131.24 : x
  2. Step 2: Convert to fraction form
    219,897/329,828.94 = 70,131.24/x
  3. Step 3: Cross multiply
    219,897x = 329,828.94 × 70,131.24
  4. Step 4: Simplify right side
    219,897x = 23,131,312,550.09
  5. Step 5: Solve for x
    x = 23,131,312,550.09/219,897
  6. Step 6: Final answer
    x = 105,191.58

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1.5x scale

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.