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Finding the Fourth Proportional to 210,420.70, 315,631.05 and 105,201.70

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Solution

The fourth proportional to 210,420.70, 315,631.05 and 105,201.70 is: 157,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,420.70 : 315,631.05 = 105,201.70 : x
  2. Step 2: Convert to fraction form
    210,420.70/315,631.05 = 105,201.70/x
  3. Step 3: Cross multiply
    210,420.70x = 315,631.05 × 105,201.70
  4. Step 4: Simplify right side
    210,420.70x = 33,204,923,032.79
  5. Step 5: Solve for x
    x = 33,204,923,032.79/210,420.70
  6. Step 6: Final answer
    x = 157,802.55

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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.