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Finding the Fourth Proportional to 210,736.80, 315,663.60 and 98,512.80

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Solution

The fourth proportional to 210,736.80, 315,663.60 and 98,512.80 is: 147,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,736.80 : 315,663.60 = 98,512.80 : x
  2. Step 2: Convert to fraction form
    210,736.80/315,663.60 = 98,512.80/x
  3. Step 3: Cross multiply
    210,736.80x = 315,663.60 × 98,512.80
  4. Step 4: Simplify right side
    210,736.80x = 31,096,905,094.08
  5. Step 5: Solve for x
    x = 31,096,905,094.08/210,736.80
  6. Step 6: Final answer
    x = 147,562.77

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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.