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Finding the Fourth Proportional to 213,909.21, 320,862.96 and 53,985.51

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Solution

The fourth proportional to 213,909.21, 320,862.96 and 53,985.51 is: 80,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,909.21 : 320,862.96 = 53,985.51 : x
  2. Step 2: Convert to fraction form
    213,909.21/320,862.96 = 53,985.51/x
  3. Step 3: Cross multiply
    213,909.21x = 320,862.96 × 53,985.51
  4. Step 4: Simplify right side
    213,909.21x = 17,321,950,535.71
  5. Step 5: Solve for x
    x = 17,321,950,535.71/213,909.21
  6. Step 6: Final answer
    x = 80,978.05

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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.