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Finding the Fourth Proportional to 215,688.95, 323,534.25 and 65,928.65

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Solution

The fourth proportional to 215,688.95, 323,534.25 and 65,928.65 is: 98,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,688.95 : 323,534.25 = 65,928.65 : x
  2. Step 2: Convert to fraction form
    215,688.95/323,534.25 = 65,928.65/x
  3. Step 3: Cross multiply
    215,688.95x = 323,534.25 × 65,928.65
  4. Step 4: Simplify right side
    215,688.95x = 21,330,177,140.10
  5. Step 5: Solve for x
    x = 21,330,177,140.10/215,688.95
  6. Step 6: Final answer
    x = 98,893.23

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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.