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Finding the Fourth Proportional to 141,947.16, 195,887 and 78,285

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Solution

The fourth proportional to 141,947.16, 195,887 and 78,285 is: 108,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,947.16 : 195,887 = 78,285 : x
  2. Step 2: Convert to fraction form
    141,947.16/195,887 = 78,285/x
  3. Step 3: Cross multiply
    141,947.16x = 195,887 × 78,285
  4. Step 4: Simplify right side
    141,947.16x = 15,335,013,795
  5. Step 5: Solve for x
    x = 15,335,013,795/141,947.16
  6. Step 6: Final answer
    x = 108,033.26

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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.