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Finding the Fourth Proportional to 102,705.96, 154,059.01 and 42,733.36

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Solution

The fourth proportional to 102,705.96, 154,059.01 and 42,733.36 is: 64,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,705.96 : 154,059.01 = 42,733.36 : x
  2. Step 2: Convert to fraction form
    102,705.96/154,059.01 = 42,733.36/x
  3. Step 3: Cross multiply
    102,705.96x = 154,059.01 × 42,733.36
  4. Step 4: Simplify right side
    102,705.96x = 6,583,459,135.57
  5. Step 5: Solve for x
    x = 6,583,459,135.57/102,705.96
  6. Step 6: Final answer
    x = 64,100.07

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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.