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Finding the Fourth Proportional to 82,614.16, 123,921.32 and 20,284.64

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Solution

The fourth proportional to 82,614.16, 123,921.32 and 20,284.64 is: 30,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,614.16 : 123,921.32 = 20,284.64 : x
  2. Step 2: Convert to fraction form
    82,614.16/123,921.32 = 20,284.64/x
  3. Step 3: Cross multiply
    82,614.16x = 123,921.32 × 20,284.64
  4. Step 4: Simplify right side
    82,614.16x = 2,513,699,364.52
  5. Step 5: Solve for x
    x = 2,513,699,364.52/82,614.16
  6. Step 6: Final answer
    x = 30,426.98

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1.5x scale

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.