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Finding the Fourth Proportional to 211,021.80, 316,532.70 and 70,746.60

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Solution

The fourth proportional to 211,021.80, 316,532.70 and 70,746.60 is: 106,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,021.80 : 316,532.70 = 70,746.60 : x
  2. Step 2: Convert to fraction form
    211,021.80/316,532.70 = 70,746.60/x
  3. Step 3: Cross multiply
    211,021.80x = 316,532.70 × 70,746.60
  4. Step 4: Simplify right side
    211,021.80x = 22,393,612,313.82
  5. Step 5: Solve for x
    x = 22,393,612,313.82/211,021.80
  6. Step 6: Final answer
    x = 106,119.90

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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.