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Finding the Fourth Proportional to 211,780.34, 317,732.64 and 85,355.67

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Solution

The fourth proportional to 211,780.34, 317,732.64 and 85,355.67 is: 128,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,780.34 : 317,732.64 = 85,355.67 : x
  2. Step 2: Convert to fraction form
    211,780.34/317,732.64 = 85,355.67/x
  3. Step 3: Cross multiply
    211,780.34x = 317,732.64 × 85,355.67
  4. Step 4: Simplify right side
    211,780.34x = 27,120,281,941.29
  5. Step 5: Solve for x
    x = 27,120,281,941.29/211,780.34
  6. Step 6: Final answer
    x = 128,058.55

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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.