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Finding the Fourth Proportional to 56,219.40, 84,329.10 and 45,721.80

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Solution

The fourth proportional to 56,219.40, 84,329.10 and 45,721.80 is: 68,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,219.40 : 84,329.10 = 45,721.80 : x
  2. Step 2: Convert to fraction form
    56,219.40/84,329.10 = 45,721.80/x
  3. Step 3: Cross multiply
    56,219.40x = 84,329.10 × 45,721.80
  4. Step 4: Simplify right side
    56,219.40x = 3,855,678,244.38
  5. Step 5: Solve for x
    x = 3,855,678,244.38/56,219.40
  6. Step 6: Final answer
    x = 68,582.70

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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.