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Finding the Fourth Proportional to 242,210.28, 363,079.71 and 115,817.88

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Solution

The fourth proportional to 242,210.28, 363,079.71 and 115,817.88 is: 173,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,210.28 : 363,079.71 = 115,817.88 : x
  2. Step 2: Convert to fraction form
    242,210.28/363,079.71 = 115,817.88/x
  3. Step 3: Cross multiply
    242,210.28x = 363,079.71 × 115,817.88
  4. Step 4: Simplify right side
    242,210.28x = 42,051,122,283.21
  5. Step 5: Solve for x
    x = 42,051,122,283.21/242,210.28
  6. Step 6: Final answer
    x = 173,614.11

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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.