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Finding the Fourth Proportional to 141,495.88, 195,269.46 and 77,838.52

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Solution

The fourth proportional to 141,495.88, 195,269.46 and 77,838.52 is: 107,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,495.88 : 195,269.46 = 77,838.52 : x
  2. Step 2: Convert to fraction form
    141,495.88/195,269.46 = 77,838.52/x
  3. Step 3: Cross multiply
    141,495.88x = 195,269.46 × 77,838.52
  4. Step 4: Simplify right side
    141,495.88x = 15,199,485,767.60
  5. Step 5: Solve for x
    x = 15,199,485,767.60/141,495.88
  6. Step 6: Final answer
    x = 107,419.99

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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.