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Finding the Fourth Proportional to 203,602.68, 305,535.24 and 78,943.68

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Solution

The fourth proportional to 203,602.68, 305,535.24 and 78,943.68 is: 118,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,602.68 : 305,535.24 = 78,943.68 : x
  2. Step 2: Convert to fraction form
    203,602.68/305,535.24 = 78,943.68/x
  3. Step 3: Cross multiply
    203,602.68x = 305,535.24 × 78,943.68
  4. Step 4: Simplify right side
    203,602.68x = 24,120,076,215.28
  5. Step 5: Solve for x
    x = 24,120,076,215.28/203,602.68
  6. Step 6: Final answer
    x = 118,466.40

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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.