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Finding the Fourth Proportional to 66,971.59, 100,457.38 and 52,191.57

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Solution

The fourth proportional to 66,971.59, 100,457.38 and 52,191.57 is: 78,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,971.59 : 100,457.38 = 52,191.57 : x
  2. Step 2: Convert to fraction form
    66,971.59/100,457.38 = 52,191.57/x
  3. Step 3: Cross multiply
    66,971.59x = 100,457.38 × 52,191.57
  4. Step 4: Simplify right side
    66,971.59x = 5,243,027,878.00
  5. Step 5: Solve for x
    x = 5,243,027,878.00/66,971.59
  6. Step 6: Final answer
    x = 78,287.34

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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.