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Finding the Fourth Proportional to 102,708.40, 154,177.80 and 61,178.80

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Solution

The fourth proportional to 102,708.40, 154,177.80 and 61,178.80 is: 91,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708.40 : 154,177.80 = 61,178.80 : x
  2. Step 2: Convert to fraction form
    102,708.40/154,177.80 = 61,178.80/x
  3. Step 3: Cross multiply
    102,708.40x = 154,177.80 × 61,178.80
  4. Step 4: Simplify right side
    102,708.40x = 9,432,412,790.64
  5. Step 5: Solve for x
    x = 9,432,412,790.64/102,708.40
  6. Step 6: Final answer
    x = 91,836.82

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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.