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Finding the Fourth Proportional to 141,894.48, 195,814.32 and 81,469.08

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Solution

The fourth proportional to 141,894.48, 195,814.32 and 81,469.08 is: 112,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,894.48 : 195,814.32 = 81,469.08 : x
  2. Step 2: Convert to fraction form
    141,894.48/195,814.32 = 81,469.08/x
  3. Step 3: Cross multiply
    141,894.48x = 195,814.32 × 81,469.08
  4. Step 4: Simplify right side
    141,894.48x = 15,952,812,501.23
  5. Step 5: Solve for x
    x = 15,952,812,501.23/141,894.48
  6. Step 6: Final answer
    x = 112,427.29

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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.