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Finding the Fourth Proportional to 208,232.64, 312,313.80 and 58,438.56

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Solution

The fourth proportional to 208,232.64, 312,313.80 and 58,438.56 is: 87,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,232.64 : 312,313.80 = 58,438.56 : x
  2. Step 2: Convert to fraction form
    208,232.64/312,313.80 = 58,438.56/x
  3. Step 3: Cross multiply
    208,232.64x = 312,313.80 × 58,438.56
  4. Step 4: Simplify right side
    208,232.64x = 18,251,168,740.13
  5. Step 5: Solve for x
    x = 18,251,168,740.13/208,232.64
  6. Step 6: Final answer
    x = 87,647.97

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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.