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Finding the Fourth Proportional to 211,208, 316,416.48 and 105,903.68

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Solution

The fourth proportional to 211,208, 316,416.48 and 105,903.68 is: 158,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,208 : 316,416.48 = 105,903.68 : x
  2. Step 2: Convert to fraction form
    211,208/316,416.48 = 105,903.68/x
  3. Step 3: Cross multiply
    211,208x = 316,416.48 × 105,903.68
  4. Step 4: Simplify right side
    211,208x = 33,509,669,644.65
  5. Step 5: Solve for x
    x = 33,509,669,644.65/211,208
  6. Step 6: Final answer
    x = 158,657.20

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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.