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Finding the Fourth Proportional to 144,011.52, 198,736.47 and 80,352

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Solution

The fourth proportional to 144,011.52, 198,736.47 and 80,352 is: 110,886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,011.52 : 198,736.47 = 80,352 : x
  2. Step 2: Convert to fraction form
    144,011.52/198,736.47 = 80,352/x
  3. Step 3: Cross multiply
    144,011.52x = 198,736.47 × 80,352
  4. Step 4: Simplify right side
    144,011.52x = 15,968,872,837.44
  5. Step 5: Solve for x
    x = 15,968,872,837.44/144,011.52
  6. Step 6: Final answer
    x = 110,886.08

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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.