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Finding the Fourth Proportional to 235,415.84, 353,013.19 and 85,550.45

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Solution

The fourth proportional to 235,415.84, 353,013.19 and 85,550.45 is: 128,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,415.84 : 353,013.19 = 85,550.45 : x
  2. Step 2: Convert to fraction form
    235,415.84/353,013.19 = 85,550.45/x
  3. Step 3: Cross multiply
    235,415.84x = 353,013.19 × 85,550.45
  4. Step 4: Simplify right side
    235,415.84x = 30,200,435,281.49
  5. Step 5: Solve for x
    x = 30,200,435,281.49/235,415.84
  6. Step 6: Final answer
    x = 128,285.49

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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.