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Finding the Fourth Proportional to 272,018.76, 408,109.69 and 109,829.32

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Solution

The fourth proportional to 272,018.76, 408,109.69 and 109,829.32 is: 164,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,018.76 : 408,109.69 = 109,829.32 : x
  2. Step 2: Convert to fraction form
    272,018.76/408,109.69 = 109,829.32/x
  3. Step 3: Cross multiply
    272,018.76x = 408,109.69 × 109,829.32
  4. Step 4: Simplify right side
    272,018.76x = 44,822,408,855.12
  5. Step 5: Solve for x
    x = 44,822,408,855.12/272,018.76
  6. Step 6: Final answer
    x = 164,776.91

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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.