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Finding the Fourth Proportional to 164,715.90, 247,347.24 and 102,780.06

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Solution

The fourth proportional to 164,715.90, 247,347.24 and 102,780.06 is: 154,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,715.90 : 247,347.24 = 102,780.06 : x
  2. Step 2: Convert to fraction form
    164,715.90/247,347.24 = 102,780.06/x
  3. Step 3: Cross multiply
    164,715.90x = 247,347.24 × 102,780.06
  4. Step 4: Simplify right side
    164,715.90x = 25,422,364,168.03
  5. Step 5: Solve for x
    x = 25,422,364,168.03/164,715.90
  6. Step 6: Final answer
    x = 154,340.68

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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.