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Finding the Fourth Proportional to 129,263.88, 178,311.32 and 77,567.61

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Solution

The fourth proportional to 129,263.88, 178,311.32 and 77,567.61 is: 106,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,263.88 : 178,311.32 = 77,567.61 : x
  2. Step 2: Convert to fraction form
    129,263.88/178,311.32 = 77,567.61/x
  3. Step 3: Cross multiply
    129,263.88x = 178,311.32 × 77,567.61
  4. Step 4: Simplify right side
    129,263.88x = 13,831,182,540.51
  5. Step 5: Solve for x
    x = 13,831,182,540.51/129,263.88
  6. Step 6: Final answer
    x = 106,999.59

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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.