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Finding the Fourth Proportional to 210,776.82, 316,289.97 and 77,750.58

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Solution

The fourth proportional to 210,776.82, 316,289.97 and 77,750.58 is: 116,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,776.82 : 316,289.97 = 77,750.58 : x
  2. Step 2: Convert to fraction form
    210,776.82/316,289.97 = 77,750.58/x
  3. Step 3: Cross multiply
    210,776.82x = 316,289.97 × 77,750.58
  4. Step 4: Simplify right side
    210,776.82x = 24,591,728,615.68
  5. Step 5: Solve for x
    x = 24,591,728,615.68/210,776.82
  6. Step 6: Final answer
    x = 116,671.88

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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.