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Finding the Fourth Proportional to 122,878, 169,509.76 and 71,857.36

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Solution

The fourth proportional to 122,878, 169,509.76 and 71,857.36 is: 99,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,878 : 169,509.76 = 71,857.36 : x
  2. Step 2: Convert to fraction form
    122,878/169,509.76 = 71,857.36/x
  3. Step 3: Cross multiply
    122,878x = 169,509.76 × 71,857.36
  4. Step 4: Simplify right side
    122,878x = 12,180,523,847.83
  5. Step 5: Solve for x
    x = 12,180,523,847.83/122,878
  6. Step 6: Final answer
    x = 99,126.97

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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.