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Finding the Fourth Proportional to 211,205.66, 316,803.02 and 70,964.28

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Solution

The fourth proportional to 211,205.66, 316,803.02 and 70,964.28 is: 106,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,205.66 : 316,803.02 = 70,964.28 : x
  2. Step 2: Convert to fraction form
    211,205.66/316,803.02 = 70,964.28/x
  3. Step 3: Cross multiply
    211,205.66x = 316,803.02 × 70,964.28
  4. Step 4: Simplify right side
    211,205.66x = 22,481,697,861.30
  5. Step 5: Solve for x
    x = 22,481,697,861.30/211,205.66
  6. Step 6: Final answer
    x = 106,444.58

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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.