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Finding the Fourth Proportional to 82,912.47, 124,368.70 and 20,582.97

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Solution

The fourth proportional to 82,912.47, 124,368.70 and 20,582.97 is: 30,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.47 : 124,368.70 = 20,582.97 : x
  2. Step 2: Convert to fraction form
    82,912.47/124,368.70 = 20,582.97/x
  3. Step 3: Cross multiply
    82,912.47x = 124,368.70 × 20,582.97
  4. Step 4: Simplify right side
    82,912.47x = 2,559,877,221.04
  5. Step 5: Solve for x
    x = 2,559,877,221.04/82,912.47
  6. Step 6: Final answer
    x = 30,874.45

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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.