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Finding the Fourth Proportional to 129,657.64, 194,486.49 and 40,918.06

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Solution

The fourth proportional to 129,657.64, 194,486.49 and 40,918.06 is: 61,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,657.64 : 194,486.49 = 40,918.06 : x
  2. Step 2: Convert to fraction form
    129,657.64/194,486.49 = 40,918.06/x
  3. Step 3: Cross multiply
    129,657.64x = 194,486.49 × 40,918.06
  4. Step 4: Simplify right side
    129,657.64x = 7,958,009,867.01
  5. Step 5: Solve for x
    x = 7,958,009,867.01/129,657.64
  6. Step 6: Final answer
    x = 61,377.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.