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Finding the Fourth Proportional to 213,614.40, 320,421.60 and 55,858.80

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Solution

The fourth proportional to 213,614.40, 320,421.60 and 55,858.80 is: 83,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,614.40 : 320,421.60 = 55,858.80 : x
  2. Step 2: Convert to fraction form
    213,614.40/320,421.60 = 55,858.80/x
  3. Step 3: Cross multiply
    213,614.40x = 320,421.60 × 55,858.80
  4. Step 4: Simplify right side
    213,614.40x = 17,898,366,070.08
  5. Step 5: Solve for x
    x = 17,898,366,070.08/213,614.40
  6. Step 6: Final answer
    x = 83,788.20

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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.