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Finding the Fourth Proportional to 208,258.01, 312,399.12 and 58,509.97

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Solution

The fourth proportional to 208,258.01, 312,399.12 and 58,509.97 is: 87,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,258.01 : 312,399.12 = 58,509.97 : x
  2. Step 2: Convert to fraction form
    208,258.01/312,399.12 = 58,509.97/x
  3. Step 3: Cross multiply
    208,258.01x = 312,399.12 × 58,509.97
  4. Step 4: Simplify right side
    208,258.01x = 18,278,463,139.23
  5. Step 5: Solve for x
    x = 18,278,463,139.23/208,258.01
  6. Step 6: Final answer
    x = 87,768.36

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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.