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Finding the Fourth Proportional to 209,642.55, 289,311.92 and 114,154.48

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Solution

The fourth proportional to 209,642.55, 289,311.92 and 114,154.48 is: 157,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,642.55 : 289,311.92 = 114,154.48 : x
  2. Step 2: Convert to fraction form
    209,642.55/289,311.92 = 114,154.48/x
  3. Step 3: Cross multiply
    209,642.55x = 289,311.92 × 114,154.48
  4. Step 4: Simplify right side
    209,642.55x = 33,026,251,785.40
  5. Step 5: Solve for x
    x = 33,026,251,785.40/209,642.55
  6. Step 6: Final answer
    x = 157,536.01

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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.