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Finding the Fourth Proportional to 129,703.77, 178,963.98 and 78,743.33

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Solution

The fourth proportional to 129,703.77, 178,963.98 and 78,743.33 is: 108,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,703.77 : 178,963.98 = 78,743.33 : x
  2. Step 2: Convert to fraction form
    129,703.77/178,963.98 = 78,743.33/x
  3. Step 3: Cross multiply
    129,703.77x = 178,963.98 × 78,743.33
  4. Step 4: Simplify right side
    129,703.77x = 14,092,218,840.43
  5. Step 5: Solve for x
    x = 14,092,218,840.43/129,703.77
  6. Step 6: Final answer
    x = 108,649.26

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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.