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Finding the Fourth Proportional to 85,990.72, 129,023.20 and 46,576

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Solution

The fourth proportional to 85,990.72, 129,023.20 and 46,576 is: 69,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,990.72 : 129,023.20 = 46,576 : x
  2. Step 2: Convert to fraction form
    85,990.72/129,023.20 = 46,576/x
  3. Step 3: Cross multiply
    85,990.72x = 129,023.20 × 46,576
  4. Step 4: Simplify right side
    85,990.72x = 6,009,384,563.20
  5. Step 5: Solve for x
    x = 6,009,384,563.20/85,990.72
  6. Step 6: Final answer
    x = 69,884.11

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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.