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Finding the Fourth Proportional to 102,905.30, 154,127.55 and 84,473.30

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Solution

The fourth proportional to 102,905.30, 154,127.55 and 84,473.30 is: 126,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,905.30 : 154,127.55 = 84,473.30 : x
  2. Step 2: Convert to fraction form
    102,905.30/154,127.55 = 84,473.30/x
  3. Step 3: Cross multiply
    102,905.30x = 154,127.55 × 84,473.30
  4. Step 4: Simplify right side
    102,905.30x = 13,019,662,769.42
  5. Step 5: Solve for x
    x = 13,019,662,769.42/102,905.30
  6. Step 6: Final answer
    x = 126,520.82

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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.