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Finding the Fourth Proportional to 146,556.30, 219,672.45 and 57,780.30

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Solution

The fourth proportional to 146,556.30, 219,672.45 and 57,780.30 is: 86,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,556.30 : 219,672.45 = 57,780.30 : x
  2. Step 2: Convert to fraction form
    146,556.30/219,672.45 = 57,780.30/x
  3. Step 3: Cross multiply
    146,556.30x = 219,672.45 × 57,780.30
  4. Step 4: Simplify right side
    146,556.30x = 12,692,740,062.74
  5. Step 5: Solve for x
    x = 12,692,740,062.74/146,556.30
  6. Step 6: Final answer
    x = 86,606.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.