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Finding the Fourth Proportional to 272,094.16, 408,183.32 and 138,902.16

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Solution

The fourth proportional to 272,094.16, 408,183.32 and 138,902.16 is: 208,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,094.16 : 408,183.32 = 138,902.16 : x
  2. Step 2: Convert to fraction form
    272,094.16/408,183.32 = 138,902.16/x
  3. Step 3: Cross multiply
    272,094.16x = 408,183.32 × 138,902.16
  4. Step 4: Simplify right side
    272,094.16x = 56,697,544,823.97
  5. Step 5: Solve for x
    x = 56,697,544,823.97/272,094.16
  6. Step 6: Final answer
    x = 208,374.72

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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.