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Finding the Fourth Proportional to 82,776.40, 124,164.60 and 30,223.60

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Solution

The fourth proportional to 82,776.40, 124,164.60 and 30,223.60 is: 45,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,776.40 : 124,164.60 = 30,223.60 : x
  2. Step 2: Convert to fraction form
    82,776.40/124,164.60 = 30,223.60/x
  3. Step 3: Cross multiply
    82,776.40x = 124,164.60 × 30,223.60
  4. Step 4: Simplify right side
    82,776.40x = 3,752,701,204.56
  5. Step 5: Solve for x
    x = 3,752,701,204.56/82,776.40
  6. Step 6: Final answer
    x = 45,335.40

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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.