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Finding the Fourth Proportional to 211,779.61, 317,576.16 and 99,491.74

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Solution

The fourth proportional to 211,779.61, 317,576.16 and 99,491.74 is: 149,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,779.61 : 317,576.16 = 99,491.74 : x
  2. Step 2: Convert to fraction form
    211,779.61/317,576.16 = 99,491.74/x
  3. Step 3: Cross multiply
    211,779.61x = 317,576.16 × 99,491.74
  4. Step 4: Simplify right side
    211,779.61x = 31,596,204,740.92
  5. Step 5: Solve for x
    x = 31,596,204,740.92/211,779.61
  6. Step 6: Final answer
    x = 149,193.80

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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.