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Finding the Fourth Proportional to 128,848, 177,829.68 and 78,576.16

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Solution

The fourth proportional to 128,848, 177,829.68 and 78,576.16 is: 108,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,848 : 177,829.68 = 78,576.16 : x
  2. Step 2: Convert to fraction form
    128,848/177,829.68 = 78,576.16/x
  3. Step 3: Cross multiply
    128,848x = 177,829.68 × 78,576.16
  4. Step 4: Simplify right side
    128,848x = 13,973,173,388.43
  5. Step 5: Solve for x
    x = 13,973,173,388.43/128,848
  6. Step 6: Final answer
    x = 108,446.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.