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Finding the Fourth Proportional to 128,934.13, 193,410.24 and 53,978.62

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Solution

The fourth proportional to 128,934.13, 193,410.24 and 53,978.62 is: 80,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,934.13 : 193,410.24 = 53,978.62 : x
  2. Step 2: Convert to fraction form
    128,934.13/193,410.24 = 53,978.62/x
  3. Step 3: Cross multiply
    128,934.13x = 193,410.24 × 53,978.62
  4. Step 4: Simplify right side
    128,934.13x = 10,440,017,849.07
  5. Step 5: Solve for x
    x = 10,440,017,849.07/128,934.13
  6. Step 6: Final answer
    x = 80,971.72

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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.