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Finding the Fourth Proportional to 78,680, 108,579.48 and 45,146

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Solution

The fourth proportional to 78,680, 108,579.48 and 45,146 is: 62,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,680 : 108,579.48 = 45,146 : x
  2. Step 2: Convert to fraction form
    78,680/108,579.48 = 45,146/x
  3. Step 3: Cross multiply
    78,680x = 108,579.48 × 45,146
  4. Step 4: Simplify right side
    78,680x = 4,901,929,204.08
  5. Step 5: Solve for x
    x = 4,901,929,204.08/78,680
  6. Step 6: Final answer
    x = 62,302.10

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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.