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Finding the Fourth Proportional to 78,948.78, 118,507.47 and 33,992.38

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Solution

The fourth proportional to 78,948.78, 118,507.47 and 33,992.38 is: 51,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,948.78 : 118,507.47 = 33,992.38 : x
  2. Step 2: Convert to fraction form
    78,948.78/118,507.47 = 33,992.38/x
  3. Step 3: Cross multiply
    78,948.78x = 118,507.47 × 33,992.38
  4. Step 4: Simplify right side
    78,948.78x = 4,028,350,953.08
  5. Step 5: Solve for x
    x = 4,028,350,953.08/78,948.78
  6. Step 6: Final answer
    x = 51,024.87

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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.