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Finding the Fourth Proportional to 211,281.60, 316,922.40 and 111,403.20

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Solution

The fourth proportional to 211,281.60, 316,922.40 and 111,403.20 is: 167,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,281.60 : 316,922.40 = 111,403.20 : x
  2. Step 2: Convert to fraction form
    211,281.60/316,922.40 = 111,403.20/x
  3. Step 3: Cross multiply
    211,281.60x = 316,922.40 × 111,403.20
  4. Step 4: Simplify right side
    211,281.60x = 35,306,169,511.68
  5. Step 5: Solve for x
    x = 35,306,169,511.68/211,281.60
  6. Step 6: Final answer
    x = 167,104.80

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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.