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Finding the Fourth Proportional to 66,967.48, 100,484 and 26,984.80

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Solution

The fourth proportional to 66,967.48, 100,484 and 26,984.80 is: 40,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,967.48 : 100,484 = 26,984.80 : x
  2. Step 2: Convert to fraction form
    66,967.48/100,484 = 26,984.80/x
  3. Step 3: Cross multiply
    66,967.48x = 100,484 × 26,984.80
  4. Step 4: Simplify right side
    66,967.48x = 2,711,540,643.20
  5. Step 5: Solve for x
    x = 2,711,540,643.20/66,967.48
  6. Step 6: Final answer
    x = 40,490.41

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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.