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Finding the Fourth Proportional to 78,678, 117,931.14 and 38,724.48

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Solution

The fourth proportional to 78,678, 117,931.14 and 38,724.48 is: 58,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,678 : 117,931.14 = 38,724.48 : x
  2. Step 2: Convert to fraction form
    78,678/117,931.14 = 38,724.48/x
  3. Step 3: Cross multiply
    78,678x = 117,931.14 × 38,724.48
  4. Step 4: Simplify right side
    78,678x = 4,566,822,072.31
  5. Step 5: Solve for x
    x = 4,566,822,072.31/78,678
  6. Step 6: Final answer
    x = 58,044.46

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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.