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Finding the Fourth Proportional to 211,885.47, 317,879.24 and 78,770.07

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Solution

The fourth proportional to 211,885.47, 317,879.24 and 78,770.07 is: 118,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,885.47 : 317,879.24 = 78,770.07 : x
  2. Step 2: Convert to fraction form
    211,885.47/317,879.24 = 78,770.07/x
  3. Step 3: Cross multiply
    211,885.47x = 317,879.24 × 78,770.07
  4. Step 4: Simplify right side
    211,885.47x = 25,039,369,592.50
  5. Step 5: Solve for x
    x = 25,039,369,592.50/211,885.47
  6. Step 6: Final answer
    x = 118,174.08

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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.