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Finding the Fourth Proportional to 145,316.80, 217,813.20 and 56,540.80

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Solution

The fourth proportional to 145,316.80, 217,813.20 and 56,540.80 is: 84,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,316.80 : 217,813.20 = 56,540.80 : x
  2. Step 2: Convert to fraction form
    145,316.80/217,813.20 = 56,540.80/x
  3. Step 3: Cross multiply
    145,316.80x = 217,813.20 × 56,540.80
  4. Step 4: Simplify right side
    145,316.80x = 12,315,332,578.56
  5. Step 5: Solve for x
    x = 12,315,332,578.56/145,316.80
  6. Step 6: Final answer
    x = 84,748.17

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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.