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Finding the Fourth Proportional to 208,178.75, 312,276.77 and 60,434.75

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Solution

The fourth proportional to 208,178.75, 312,276.77 and 60,434.75 is: 90,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,178.75 : 312,276.77 = 60,434.75 : x
  2. Step 2: Convert to fraction form
    208,178.75/312,276.77 = 60,434.75/x
  3. Step 3: Cross multiply
    208,178.75x = 312,276.77 × 60,434.75
  4. Step 4: Simplify right side
    208,178.75x = 18,872,368,223.58
  5. Step 5: Solve for x
    x = 18,872,368,223.58/208,178.75
  6. Step 6: Final answer
    x = 90,654.63

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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.