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Finding the Fourth Proportional to 107,385.52, 161,086.28 and 28,498

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Solution

The fourth proportional to 107,385.52, 161,086.28 and 28,498 is: 42,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,385.52 : 161,086.28 = 28,498 : x
  2. Step 2: Convert to fraction form
    107,385.52/161,086.28 = 28,498/x
  3. Step 3: Cross multiply
    107,385.52x = 161,086.28 × 28,498
  4. Step 4: Simplify right side
    107,385.52x = 4,590,636,807.44
  5. Step 5: Solve for x
    x = 4,590,636,807.44/107,385.52
  6. Step 6: Final answer
    x = 42,749.12

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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.