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Finding the Fourth Proportional to 89,242.59, 133,820.79 and 51,812.09

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Solution

The fourth proportional to 89,242.59, 133,820.79 and 51,812.09 is: 77,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,242.59 : 133,820.79 = 51,812.09 : x
  2. Step 2: Convert to fraction form
    89,242.59/133,820.79 = 51,812.09/x
  3. Step 3: Cross multiply
    89,242.59x = 133,820.79 × 51,812.09
  4. Step 4: Simplify right side
    89,242.59x = 6,933,534,146.25
  5. Step 5: Solve for x
    x = 6,933,534,146.25/89,242.59
  6. Step 6: Final answer
    x = 77,693.11

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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.