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Finding the Fourth Proportional to 102,923.20, 154,384.80 and 29,051.20

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Solution

The fourth proportional to 102,923.20, 154,384.80 and 29,051.20 is: 43,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,923.20 : 154,384.80 = 29,051.20 : x
  2. Step 2: Convert to fraction form
    102,923.20/154,384.80 = 29,051.20/x
  3. Step 3: Cross multiply
    102,923.20x = 154,384.80 × 29,051.20
  4. Step 4: Simplify right side
    102,923.20x = 4,485,063,701.76
  5. Step 5: Solve for x
    x = 4,485,063,701.76/102,923.20
  6. Step 6: Final answer
    x = 43,576.80

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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.