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Finding the Fourth Proportional to 123,523.20, 185,284.80 and 83,606.40

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Solution

The fourth proportional to 123,523.20, 185,284.80 and 83,606.40 is: 125,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,523.20 : 185,284.80 = 83,606.40 : x
  2. Step 2: Convert to fraction form
    123,523.20/185,284.80 = 83,606.40/x
  3. Step 3: Cross multiply
    123,523.20x = 185,284.80 × 83,606.40
  4. Step 4: Simplify right side
    123,523.20x = 15,490,995,102.72
  5. Step 5: Solve for x
    x = 15,490,995,102.72/123,523.20
  6. Step 6: Final answer
    x = 125,409.60

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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.