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Finding the Fourth Proportional to 76,970.96, 115,460.92 and 21,571.28

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Solution

The fourth proportional to 76,970.96, 115,460.92 and 21,571.28 is: 32,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970.96 : 115,460.92 = 21,571.28 : x
  2. Step 2: Convert to fraction form
    76,970.96/115,460.92 = 21,571.28/x
  3. Step 3: Cross multiply
    76,970.96x = 115,460.92 × 21,571.28
  4. Step 4: Simplify right side
    76,970.96x = 2,490,639,834.38
  5. Step 5: Solve for x
    x = 2,490,639,834.38/76,970.96
  6. Step 6: Final answer
    x = 32,358.18

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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.