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Finding the Fourth Proportional to 131,121, 180,946.98 and 71,505

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Solution

The fourth proportional to 131,121, 180,946.98 and 71,505 is: 98,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,121 : 180,946.98 = 71,505 : x
  2. Step 2: Convert to fraction form
    131,121/180,946.98 = 71,505/x
  3. Step 3: Cross multiply
    131,121x = 180,946.98 × 71,505
  4. Step 4: Simplify right side
    131,121x = 12,938,613,804.90
  5. Step 5: Solve for x
    x = 12,938,613,804.90/131,121
  6. Step 6: Final answer
    x = 98,676.90

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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.