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Finding the Fourth Proportional to 131,108.64, 180,930 and 74,520

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Solution

The fourth proportional to 131,108.64, 180,930 and 74,520 is: 102,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,108.64 : 180,930 = 74,520 : x
  2. Step 2: Convert to fraction form
    131,108.64/180,930 = 74,520/x
  3. Step 3: Cross multiply
    131,108.64x = 180,930 × 74,520
  4. Step 4: Simplify right side
    131,108.64x = 13,482,903,600
  5. Step 5: Solve for x
    x = 13,482,903,600/131,108.64
  6. Step 6: Final answer
    x = 102,837.64

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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.