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Finding the Fourth Proportional to 71,432, 98,531.70 and 45,971.60

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Solution

The fourth proportional to 71,432, 98,531.70 and 45,971.60 is: 63,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,432 : 98,531.70 = 45,971.60 : x
  2. Step 2: Convert to fraction form
    71,432/98,531.70 = 45,971.60/x
  3. Step 3: Cross multiply
    71,432x = 98,531.70 × 45,971.60
  4. Step 4: Simplify right side
    71,432x = 4,529,659,899.72
  5. Step 5: Solve for x
    x = 4,529,659,899.72/71,432
  6. Step 6: Final answer
    x = 63,412.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.