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Finding the Fourth Proportional to 85,397.68, 128,159.44 and 41,050

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Solution

The fourth proportional to 85,397.68, 128,159.44 and 41,050 is: 61,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,397.68 : 128,159.44 = 41,050 : x
  2. Step 2: Convert to fraction form
    85,397.68/128,159.44 = 41,050/x
  3. Step 3: Cross multiply
    85,397.68x = 128,159.44 × 41,050
  4. Step 4: Simplify right side
    85,397.68x = 5,260,945,012
  5. Step 5: Solve for x
    x = 5,260,945,012/85,397.68
  6. Step 6: Final answer
    x = 61,605.25

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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.