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Finding the Fourth Proportional to 85,729.53, 118,302.64 and 47,486.50

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Solution

The fourth proportional to 85,729.53, 118,302.64 and 47,486.50 is: 65,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,729.53 : 118,302.64 = 47,486.50 : x
  2. Step 2: Convert to fraction form
    85,729.53/118,302.64 = 47,486.50/x
  3. Step 3: Cross multiply
    85,729.53x = 118,302.64 × 47,486.50
  4. Step 4: Simplify right side
    85,729.53x = 5,617,777,485.41
  5. Step 5: Solve for x
    x = 5,617,777,485.41/85,729.53
  6. Step 6: Final answer
    x = 65,529.08

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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.