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Finding the Fourth Proportional to 76,852.76, 115,298.56 and 21,448.76

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Solution

The fourth proportional to 76,852.76, 115,298.56 and 21,448.76 is: 32,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,852.76 : 115,298.56 = 21,448.76 : x
  2. Step 2: Convert to fraction form
    76,852.76/115,298.56 = 21,448.76/x
  3. Step 3: Cross multiply
    76,852.76x = 115,298.56 × 21,448.76
  4. Step 4: Simplify right side
    76,852.76x = 2,473,011,141.79
  5. Step 5: Solve for x
    x = 2,473,011,141.79/76,852.76
  6. Step 6: Final answer
    x = 32,178.56

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1.5x scale

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.