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Finding the Fourth Proportional to 128,971.20, 193,165.20 and 76,483.20

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Solution

The fourth proportional to 128,971.20, 193,165.20 and 76,483.20 is: 114,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,971.20 : 193,165.20 = 76,483.20 : x
  2. Step 2: Convert to fraction form
    128,971.20/193,165.20 = 76,483.20/x
  3. Step 3: Cross multiply
    128,971.20x = 193,165.20 × 76,483.20
  4. Step 4: Simplify right side
    128,971.20x = 14,773,892,624.64
  5. Step 5: Solve for x
    x = 14,773,892,624.64/128,971.20
  6. Step 6: Final answer
    x = 114,551.87

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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.