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Finding the Fourth Proportional to 208,615.48, 312,947.66 and 66,410.94

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Solution

The fourth proportional to 208,615.48, 312,947.66 and 66,410.94 is: 99,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,615.48 : 312,947.66 = 66,410.94 : x
  2. Step 2: Convert to fraction form
    208,615.48/312,947.66 = 66,410.94/x
  3. Step 3: Cross multiply
    208,615.48x = 312,947.66 × 66,410.94
  4. Step 4: Simplify right side
    208,615.48x = 20,783,148,271.40
  5. Step 5: Solve for x
    x = 20,783,148,271.40/208,615.48
  6. Step 6: Final answer
    x = 99,624.19

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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.