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Finding the Fourth Proportional to 199,018.64, 298,644.60 and 142,798.16

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Solution

The fourth proportional to 199,018.64, 298,644.60 and 142,798.16 is: 214,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,018.64 : 298,644.60 = 142,798.16 : x
  2. Step 2: Convert to fraction form
    199,018.64/298,644.60 = 142,798.16/x
  3. Step 3: Cross multiply
    199,018.64x = 298,644.60 × 142,798.16
  4. Step 4: Simplify right side
    199,018.64x = 42,645,897,880.71
  5. Step 5: Solve for x
    x = 42,645,897,880.71/199,018.64
  6. Step 6: Final answer
    x = 214,280.93

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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.