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Finding the Fourth Proportional to 70,582.50, 105,873.75 and 21,334.50

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Solution

The fourth proportional to 70,582.50, 105,873.75 and 21,334.50 is: 32,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,582.50 : 105,873.75 = 21,334.50 : x
  2. Step 2: Convert to fraction form
    70,582.50/105,873.75 = 21,334.50/x
  3. Step 3: Cross multiply
    70,582.50x = 105,873.75 × 21,334.50
  4. Step 4: Simplify right side
    70,582.50x = 2,258,763,519.38
  5. Step 5: Solve for x
    x = 2,258,763,519.38/70,582.50
  6. Step 6: Final answer
    x = 32,001.75

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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.