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Finding the Fourth Proportional to 122,689.50, 169,242.21 and 77,289.54

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Solution

The fourth proportional to 122,689.50, 169,242.21 and 77,289.54 is: 106,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,689.50 : 169,242.21 = 77,289.54 : x
  2. Step 2: Convert to fraction form
    122,689.50/169,242.21 = 77,289.54/x
  3. Step 3: Cross multiply
    122,689.50x = 169,242.21 × 77,289.54
  4. Step 4: Simplify right side
    122,689.50x = 13,080,652,559.48
  5. Step 5: Solve for x
    x = 13,080,652,559.48/122,689.50
  6. Step 6: Final answer
    x = 106,615.91

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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.