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Finding the Fourth Proportional to 141,486.64, 195,247.42 and 77,824.40

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Solution

The fourth proportional to 141,486.64, 195,247.42 and 77,824.40 is: 107,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,486.64 : 195,247.42 = 77,824.40 : x
  2. Step 2: Convert to fraction form
    141,486.64/195,247.42 = 77,824.40/x
  3. Step 3: Cross multiply
    141,486.64x = 195,247.42 × 77,824.40
  4. Step 4: Simplify right side
    141,486.64x = 15,195,013,313.05
  5. Step 5: Solve for x
    x = 15,195,013,313.05/141,486.64
  6. Step 6: Final answer
    x = 107,395.39

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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.