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Finding the Fourth Proportional to 128,271.30, 192,406.95 and 114,493.20

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Solution

The fourth proportional to 128,271.30, 192,406.95 and 114,493.20 is: 171,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,271.30 : 192,406.95 = 114,493.20 : x
  2. Step 2: Convert to fraction form
    128,271.30/192,406.95 = 114,493.20/x
  3. Step 3: Cross multiply
    128,271.30x = 192,406.95 × 114,493.20
  4. Step 4: Simplify right side
    128,271.30x = 22,029,287,407.74
  5. Step 5: Solve for x
    x = 22,029,287,407.74/128,271.30
  6. Step 6: Final answer
    x = 171,739.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.