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Finding the Fourth Proportional to 219,135.40, 329,048.70 and 125,823.40

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Solution

The fourth proportional to 219,135.40, 329,048.70 and 125,823.40 is: 188,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,135.40 : 329,048.70 = 125,823.40 : x
  2. Step 2: Convert to fraction form
    219,135.40/329,048.70 = 125,823.40/x
  3. Step 3: Cross multiply
    219,135.40x = 329,048.70 × 125,823.40
  4. Step 4: Simplify right side
    219,135.40x = 41,402,026,199.58
  5. Step 5: Solve for x
    x = 41,402,026,199.58/219,135.40
  6. Step 6: Final answer
    x = 188,933.54

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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.