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Finding the Fourth Proportional to 235,470.60, 353,076.30 and 77,617.80

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Solution

The fourth proportional to 235,470.60, 353,076.30 and 77,617.80 is: 116,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,470.60 : 353,076.30 = 77,617.80 : x
  2. Step 2: Convert to fraction form
    235,470.60/353,076.30 = 77,617.80/x
  3. Step 3: Cross multiply
    235,470.60x = 353,076.30 × 77,617.80
  4. Step 4: Simplify right side
    235,470.60x = 27,405,005,638.14
  5. Step 5: Solve for x
    x = 27,405,005,638.14/235,470.60
  6. Step 6: Final answer
    x = 116,383.98

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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.