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Finding the Fourth Proportional to 161,978.24, 223,530.30 and 90,356.44

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Solution

The fourth proportional to 161,978.24, 223,530.30 and 90,356.44 is: 124,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,978.24 : 223,530.30 = 90,356.44 : x
  2. Step 2: Convert to fraction form
    161,978.24/223,530.30 = 90,356.44/x
  3. Step 3: Cross multiply
    161,978.24x = 223,530.30 × 90,356.44
  4. Step 4: Simplify right side
    161,978.24x = 20,197,402,140.13
  5. Step 5: Solve for x
    x = 20,197,402,140.13/161,978.24
  6. Step 6: Final answer
    x = 124,692.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.