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Finding the Fourth Proportional to 71,165.40, 98,215.86 and 40,952.04

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Solution

The fourth proportional to 71,165.40, 98,215.86 and 40,952.04 is: 56,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,165.40 : 98,215.86 = 40,952.04 : x
  2. Step 2: Convert to fraction form
    71,165.40/98,215.86 = 40,952.04/x
  3. Step 3: Cross multiply
    71,165.40x = 98,215.86 × 40,952.04
  4. Step 4: Simplify right side
    71,165.40x = 4,022,139,827.35
  5. Step 5: Solve for x
    x = 4,022,139,827.35/71,165.40
  6. Step 6: Final answer
    x = 56,518.19

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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.