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Finding the Fourth Proportional to 317,135.49, 475,678.41 and 89,421.91

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Solution

The fourth proportional to 317,135.49, 475,678.41 and 89,421.91 is: 134,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,135.49 : 475,678.41 = 89,421.91 : x
  2. Step 2: Convert to fraction form
    317,135.49/475,678.41 = 89,421.91/x
  3. Step 3: Cross multiply
    317,135.49x = 475,678.41 × 89,421.91
  4. Step 4: Simplify right side
    317,135.49x = 42,536,069,589.57
  5. Step 5: Solve for x
    x = 42,536,069,589.57/317,135.49
  6. Step 6: Final answer
    x = 134,125.86

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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.