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Finding the Fourth Proportional to 210,852.10, 316,321.35 and 70,711.30

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Solution

The fourth proportional to 210,852.10, 316,321.35 and 70,711.30 is: 106,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,852.10 : 316,321.35 = 70,711.30 : x
  2. Step 2: Convert to fraction form
    210,852.10/316,321.35 = 70,711.30/x
  3. Step 3: Cross multiply
    210,852.10x = 316,321.35 × 70,711.30
  4. Step 4: Simplify right side
    210,852.10x = 22,367,493,876.26
  5. Step 5: Solve for x
    x = 22,367,493,876.26/210,852.10
  6. Step 6: Final answer
    x = 106,081.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.