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Finding the Fourth Proportional to 138,706.96, 191,415.54 and 78,290.28

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Solution

The fourth proportional to 138,706.96, 191,415.54 and 78,290.28 is: 108,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706.96 : 191,415.54 = 78,290.28 : x
  2. Step 2: Convert to fraction form
    138,706.96/191,415.54 = 78,290.28/x
  3. Step 3: Cross multiply
    138,706.96x = 191,415.54 × 78,290.28
  4. Step 4: Simplify right side
    138,706.96x = 14,985,975,265.87
  5. Step 5: Solve for x
    x = 14,985,975,265.87/138,706.96
  6. Step 6: Final answer
    x = 108,040.54

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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.