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Finding the Fourth Proportional to 223,961.80, 309,062.64 and 121,988.40

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Solution

The fourth proportional to 223,961.80, 309,062.64 and 121,988.40 is: 168,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,961.80 : 309,062.64 = 121,988.40 : x
  2. Step 2: Convert to fraction form
    223,961.80/309,062.64 = 121,988.40/x
  3. Step 3: Cross multiply
    223,961.80x = 309,062.64 × 121,988.40
  4. Step 4: Simplify right side
    223,961.80x = 37,702,056,953.38
  5. Step 5: Solve for x
    x = 37,702,056,953.38/223,961.80
  6. Step 6: Final answer
    x = 168,341.46

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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.