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Finding the Fourth Proportional to 176,780.21, 243,981.81 and 100,318.14

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Solution

The fourth proportional to 176,780.21, 243,981.81 and 100,318.14 is: 138,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,780.21 : 243,981.81 = 100,318.14 : x
  2. Step 2: Convert to fraction form
    176,780.21/243,981.81 = 100,318.14/x
  3. Step 3: Cross multiply
    176,780.21x = 243,981.81 × 100,318.14
  4. Step 4: Simplify right side
    176,780.21x = 24,475,801,373.03
  5. Step 5: Solve for x
    x = 24,475,801,373.03/176,780.21
  6. Step 6: Final answer
    x = 138,453.29

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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.