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Finding the Fourth Proportional to 85,735.98, 128,686.80 and 41,393.88

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Solution

The fourth proportional to 85,735.98, 128,686.80 and 41,393.88 is: 62,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,735.98 : 128,686.80 = 41,393.88 : x
  2. Step 2: Convert to fraction form
    85,735.98/128,686.80 = 41,393.88/x
  3. Step 3: Cross multiply
    85,735.98x = 128,686.80 × 41,393.88
  4. Step 4: Simplify right side
    85,735.98x = 5,326,845,956.78
  5. Step 5: Solve for x
    x = 5,326,845,956.78/85,735.98
  6. Step 6: Final answer
    x = 62,130.81

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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.