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Finding the Fourth Proportional to 211,890.74, 317,807.82 and 78,752.93

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Solution

The fourth proportional to 211,890.74, 317,807.82 and 78,752.93 is: 118,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,890.74 : 317,807.82 = 78,752.93 : x
  2. Step 2: Convert to fraction form
    211,890.74/317,807.82 = 78,752.93/x
  3. Step 3: Cross multiply
    211,890.74x = 317,807.82 × 78,752.93
  4. Step 4: Simplify right side
    211,890.74x = 25,028,295,412.87
  5. Step 5: Solve for x
    x = 25,028,295,412.87/211,890.74
  6. Step 6: Final answer
    x = 118,118.88

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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.