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Finding the Fourth Proportional to 128,029.52, 192,047.79 and 34,535

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Solution

The fourth proportional to 128,029.52, 192,047.79 and 34,535 is: 51,803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,029.52 : 192,047.79 = 34,535 : x
  2. Step 2: Convert to fraction form
    128,029.52/192,047.79 = 34,535/x
  3. Step 3: Cross multiply
    128,029.52x = 192,047.79 × 34,535
  4. Step 4: Simplify right side
    128,029.52x = 6,632,370,427.65
  5. Step 5: Solve for x
    x = 6,632,370,427.65/128,029.52
  6. Step 6: Final answer
    x = 51,803.45

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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.