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Finding the Fourth Proportional to 126,431.62, 174,510.40 and 78,656.48

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Solution

The fourth proportional to 126,431.62, 174,510.40 and 78,656.48 is: 108,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,431.62 : 174,510.40 = 78,656.48 : x
  2. Step 2: Convert to fraction form
    126,431.62/174,510.40 = 78,656.48/x
  3. Step 3: Cross multiply
    126,431.62x = 174,510.40 × 78,656.48
  4. Step 4: Simplify right side
    126,431.62x = 13,726,373,787.39
  5. Step 5: Solve for x
    x = 13,726,373,787.39/126,431.62
  6. Step 6: Final answer
    x = 108,567.57

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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.