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Finding the Fourth Proportional to 77,784.60, 116,676.90 and 74,371.80

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Solution

The fourth proportional to 77,784.60, 116,676.90 and 74,371.80 is: 111,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,784.60 : 116,676.90 = 74,371.80 : x
  2. Step 2: Convert to fraction form
    77,784.60/116,676.90 = 74,371.80/x
  3. Step 3: Cross multiply
    77,784.60x = 116,676.90 × 74,371.80
  4. Step 4: Simplify right side
    77,784.60x = 8,677,471,071.42
  5. Step 5: Solve for x
    x = 8,677,471,071.42/77,784.60
  6. Step 6: Final answer
    x = 111,557.70

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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.