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Finding the Fourth Proportional to 104,160, 156,266.64 and 30,288

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Solution

The fourth proportional to 104,160, 156,266.64 and 30,288 is: 45,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,160 : 156,266.64 = 30,288 : x
  2. Step 2: Convert to fraction form
    104,160/156,266.64 = 30,288/x
  3. Step 3: Cross multiply
    104,160x = 156,266.64 × 30,288
  4. Step 4: Simplify right side
    104,160x = 4,733,003,992.32
  5. Step 5: Solve for x
    x = 4,733,003,992.32/104,160
  6. Step 6: Final answer
    x = 45,439.75

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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.