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Finding the Fourth Proportional to 85,505.30, 128,146.10 and 45,977.30

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Solution

The fourth proportional to 85,505.30, 128,146.10 and 45,977.30 is: 68,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,505.30 : 128,146.10 = 45,977.30 : x
  2. Step 2: Convert to fraction form
    85,505.30/128,146.10 = 45,977.30/x
  3. Step 3: Cross multiply
    85,505.30x = 128,146.10 × 45,977.30
  4. Step 4: Simplify right side
    85,505.30x = 5,891,811,683.53
  5. Step 5: Solve for x
    x = 5,891,811,683.53/85,505.30
  6. Step 6: Final answer
    x = 68,905.81

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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.