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Finding the Fourth Proportional to 210,729.45, 315,594.81 and 120,821.07

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Solution

The fourth proportional to 210,729.45, 315,594.81 and 120,821.07 is: 180,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,729.45 : 315,594.81 = 120,821.07 : x
  2. Step 2: Convert to fraction form
    210,729.45/315,594.81 = 120,821.07/x
  3. Step 3: Cross multiply
    210,729.45x = 315,594.81 × 120,821.07
  4. Step 4: Simplify right side
    210,729.45x = 38,130,502,630.65
  5. Step 5: Solve for x
    x = 38,130,502,630.65/210,729.45
  6. Step 6: Final answer
    x = 180,945.30

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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.