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Finding the Fourth Proportional to 77,781.60, 116,674.80 and 30,394.68

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Solution

The fourth proportional to 77,781.60, 116,674.80 and 30,394.68 is: 45,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,781.60 : 116,674.80 = 30,394.68 : x
  2. Step 2: Convert to fraction form
    77,781.60/116,674.80 = 30,394.68/x
  3. Step 3: Cross multiply
    77,781.60x = 116,674.80 × 30,394.68
  4. Step 4: Simplify right side
    77,781.60x = 3,546,293,210.06
  5. Step 5: Solve for x
    x = 3,546,293,210.06/77,781.60
  6. Step 6: Final answer
    x = 45,592.96

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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.