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Finding the Fourth Proportional to 78,905, 108,892.14 and 45,371

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Solution

The fourth proportional to 78,905, 108,892.14 and 45,371 is: 62,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,905 : 108,892.14 = 45,371 : x
  2. Step 2: Convert to fraction form
    78,905/108,892.14 = 45,371/x
  3. Step 3: Cross multiply
    78,905x = 108,892.14 × 45,371
  4. Step 4: Simplify right side
    78,905x = 4,940,545,283.94
  5. Step 5: Solve for x
    x = 4,940,545,283.94/78,905
  6. Step 6: Final answer
    x = 62,613.84

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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.