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Finding the Fourth Proportional to 208,133, 312,188.54 and 58,383.64

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Solution

The fourth proportional to 208,133, 312,188.54 and 58,383.64 is: 87,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,133 : 312,188.54 = 58,383.64 : x
  2. Step 2: Convert to fraction form
    208,133/312,188.54 = 58,383.64/x
  3. Step 3: Cross multiply
    208,133x = 312,188.54 × 58,383.64
  4. Step 4: Simplify right side
    208,133x = 18,226,703,331.49
  5. Step 5: Solve for x
    x = 18,226,703,331.49/208,133
  6. Step 6: Final answer
    x = 87,572.39

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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.