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Finding the Fourth Proportional to 71,402.52, 98,533.80 and 41,187.90

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Solution

The fourth proportional to 71,402.52, 98,533.80 and 41,187.90 is: 56,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,402.52 : 98,533.80 = 41,187.90 : x
  2. Step 2: Convert to fraction form
    71,402.52/98,533.80 = 41,187.90/x
  3. Step 3: Cross multiply
    71,402.52x = 98,533.80 × 41,187.90
  4. Step 4: Simplify right side
    71,402.52x = 4,058,400,301.02
  5. Step 5: Solve for x
    x = 4,058,400,301.02/71,402.52
  6. Step 6: Final answer
    x = 56,838.33

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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.