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Finding the Fourth Proportional to 78,609.20, 117,914.14 and 19,444.68

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Solution

The fourth proportional to 78,609.20, 117,914.14 and 19,444.68 is: 29,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,609.20 : 117,914.14 = 19,444.68 : x
  2. Step 2: Convert to fraction form
    78,609.20/117,914.14 = 19,444.68/x
  3. Step 3: Cross multiply
    78,609.20x = 117,914.14 × 19,444.68
  4. Step 4: Simplify right side
    78,609.20x = 2,292,802,719.78
  5. Step 5: Solve for x
    x = 2,292,802,719.78/78,609.20
  6. Step 6: Final answer
    x = 29,167.10

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1.5x scale

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.