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Finding the Fourth Proportional to 126,503.72, 174,655.64 and 78,827.12

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Solution

The fourth proportional to 126,503.72, 174,655.64 and 78,827.12 is: 108,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,503.72 : 174,655.64 = 78,827.12 : x
  2. Step 2: Convert to fraction form
    126,503.72/174,655.64 = 78,827.12/x
  3. Step 3: Cross multiply
    126,503.72x = 174,655.64 × 78,827.12
  4. Step 4: Simplify right side
    126,503.72x = 13,767,601,092.96
  5. Step 5: Solve for x
    x = 13,767,601,092.96/126,503.72
  6. Step 6: Final answer
    x = 108,831.59

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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.