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Finding the Fourth Proportional to 131,125, 180,952.52 and 71,509

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Solution

The fourth proportional to 131,125, 180,952.52 and 71,509 is: 98,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,125 : 180,952.52 = 71,509 : x
  2. Step 2: Convert to fraction form
    131,125/180,952.52 = 71,509/x
  3. Step 3: Cross multiply
    131,125x = 180,952.52 × 71,509
  4. Step 4: Simplify right side
    131,125x = 12,939,733,752.68
  5. Step 5: Solve for x
    x = 12,939,733,752.68/131,125
  6. Step 6: Final answer
    x = 98,682.43

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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.