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Finding the Fourth Proportional to 145,223.20, 217,867.20 and 56,468.80

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Solution

The fourth proportional to 145,223.20, 217,867.20 and 56,468.80 is: 84,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,223.20 : 217,867.20 = 56,468.80 : x
  2. Step 2: Convert to fraction form
    145,223.20/217,867.20 = 56,468.80/x
  3. Step 3: Cross multiply
    145,223.20x = 217,867.20 × 56,468.80
  4. Step 4: Simplify right side
    145,223.20x = 12,302,699,343.36
  5. Step 5: Solve for x
    x = 12,302,699,343.36/145,223.20
  6. Step 6: Final answer
    x = 84,715.80

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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.