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Finding the Fourth Proportional to 128,051.48, 191,946 and 49,144.52

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Solution

The fourth proportional to 128,051.48, 191,946 and 49,144.52 is: 73,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,051.48 : 191,946 = 49,144.52 : x
  2. Step 2: Convert to fraction form
    128,051.48/191,946 = 49,144.52/x
  3. Step 3: Cross multiply
    128,051.48x = 191,946 × 49,144.52
  4. Step 4: Simplify right side
    128,051.48x = 9,433,094,035.92
  5. Step 5: Solve for x
    x = 9,433,094,035.92/128,051.48
  6. Step 6: Final answer
    x = 73,666.42

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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.