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Finding the Fourth Proportional to 130,997.48, 180,776.49 and 71,381.48

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Solution

The fourth proportional to 130,997.48, 180,776.49 and 71,381.48 is: 98,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,997.48 : 180,776.49 = 71,381.48 : x
  2. Step 2: Convert to fraction form
    130,997.48/180,776.49 = 71,381.48/x
  3. Step 3: Cross multiply
    130,997.48x = 180,776.49 × 71,381.48
  4. Step 4: Simplify right side
    130,997.48x = 12,904,093,405.41
  5. Step 5: Solve for x
    x = 12,904,093,405.41/130,997.48
  6. Step 6: Final answer
    x = 98,506.42

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1.5x scale

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.