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Finding the Fourth Proportional to 78,006.60, 116,837.10 and 67,638.60

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Solution

The fourth proportional to 78,006.60, 116,837.10 and 67,638.60 is: 101,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,006.60 : 116,837.10 = 67,638.60 : x
  2. Step 2: Convert to fraction form
    78,006.60/116,837.10 = 67,638.60/x
  3. Step 3: Cross multiply
    78,006.60x = 116,837.10 × 67,638.60
  4. Step 4: Simplify right side
    78,006.60x = 7,902,697,872.06
  5. Step 5: Solve for x
    x = 7,902,697,872.06/78,006.60
  6. Step 6: Final answer
    x = 101,308.07

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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.