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Finding the Fourth Proportional to 141,673.16, 195,505.16 and 78,011.48

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Solution

The fourth proportional to 141,673.16, 195,505.16 and 78,011.48 is: 107,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,673.16 : 195,505.16 = 78,011.48 : x
  2. Step 2: Convert to fraction form
    141,673.16/195,505.16 = 78,011.48/x
  3. Step 3: Cross multiply
    141,673.16x = 195,505.16 × 78,011.48
  4. Step 4: Simplify right side
    141,673.16x = 15,251,646,879.24
  5. Step 5: Solve for x
    x = 15,251,646,879.24/141,673.16
  6. Step 6: Final answer
    x = 107,653.75

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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.