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Finding the Fourth Proportional to 102,904.70, 154,291.35 and 43,709.90

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Solution

The fourth proportional to 102,904.70, 154,291.35 and 43,709.90 is: 65,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,904.70 : 154,291.35 = 43,709.90 : x
  2. Step 2: Convert to fraction form
    102,904.70/154,291.35 = 43,709.90/x
  3. Step 3: Cross multiply
    102,904.70x = 154,291.35 × 43,709.90
  4. Step 4: Simplify right side
    102,904.70x = 6,744,059,479.37
  5. Step 5: Solve for x
    x = 6,744,059,479.37/102,904.70
  6. Step 6: Final answer
    x = 65,536.94

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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.