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Finding the Fourth Proportional to 141,398.92, 195,128.76 and 77,736.16

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Solution

The fourth proportional to 141,398.92, 195,128.76 and 77,736.16 is: 107,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,398.92 : 195,128.76 = 77,736.16 : x
  2. Step 2: Convert to fraction form
    141,398.92/195,128.76 = 77,736.16/x
  3. Step 3: Cross multiply
    141,398.92x = 195,128.76 × 77,736.16
  4. Step 4: Simplify right side
    141,398.92x = 15,168,560,507.96
  5. Step 5: Solve for x
    x = 15,168,560,507.96/141,398.92
  6. Step 6: Final answer
    x = 107,274.94

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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.