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Finding the Fourth Proportional to 224,990.64, 310,518.78 and 137,827.75

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Solution

The fourth proportional to 224,990.64, 310,518.78 and 137,827.75 is: 190,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,990.64 : 310,518.78 = 137,827.75 : x
  2. Step 2: Convert to fraction form
    224,990.64/310,518.78 = 137,827.75/x
  3. Step 3: Cross multiply
    224,990.64x = 310,518.78 × 137,827.75
  4. Step 4: Simplify right side
    224,990.64x = 42,798,104,780.15
  5. Step 5: Solve for x
    x = 42,798,104,780.15/224,990.64
  6. Step 6: Final answer
    x = 190,221.71

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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.