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Finding the Fourth Proportional to 132,580, 182,960.44 and 72,964

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Solution

The fourth proportional to 132,580, 182,960.44 and 72,964 is: 100,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,580 : 182,960.44 = 72,964 : x
  2. Step 2: Convert to fraction form
    132,580/182,960.44 = 72,964/x
  3. Step 3: Cross multiply
    132,580x = 182,960.44 × 72,964
  4. Step 4: Simplify right side
    132,580x = 13,349,525,544.16
  5. Step 5: Solve for x
    x = 13,349,525,544.16/132,580
  6. Step 6: Final answer
    x = 100,690.34

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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.