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Finding the Fourth Proportional to 218,776.23, 301,909.41 and 121,978.94

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Solution

The fourth proportional to 218,776.23, 301,909.41 and 121,978.94 is: 168,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,776.23 : 301,909.41 = 121,978.94 : x
  2. Step 2: Convert to fraction form
    218,776.23/301,909.41 = 121,978.94/x
  3. Step 3: Cross multiply
    218,776.23x = 301,909.41 × 121,978.94
  4. Step 4: Simplify right side
    218,776.23x = 36,826,588,298.28
  5. Step 5: Solve for x
    x = 36,826,588,298.28/218,776.23
  6. Step 6: Final answer
    x = 168,329.93

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1.5x scale

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.