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Finding the Fourth Proportional to 71,157.48, 98,201.12 and 40,947.40

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Solution

The fourth proportional to 71,157.48, 98,201.12 and 40,947.40 is: 56,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,157.48 : 98,201.12 = 40,947.40 : x
  2. Step 2: Convert to fraction form
    71,157.48/98,201.12 = 40,947.40/x
  3. Step 3: Cross multiply
    71,157.48x = 98,201.12 × 40,947.40
  4. Step 4: Simplify right side
    71,157.48x = 4,021,080,541.09
  5. Step 5: Solve for x
    x = 4,021,080,541.09/71,157.48
  6. Step 6: Final answer
    x = 56,509.60

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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.