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Finding the Fourth Proportional to 181,138.26, 249,981.72 and 109,535.88

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Solution

The fourth proportional to 181,138.26, 249,981.72 and 109,535.88 is: 151,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,138.26 : 249,981.72 = 109,535.88 : x
  2. Step 2: Convert to fraction form
    181,138.26/249,981.72 = 109,535.88/x
  3. Step 3: Cross multiply
    181,138.26x = 249,981.72 × 109,535.88
  4. Step 4: Simplify right side
    181,138.26x = 27,381,967,684.11
  5. Step 5: Solve for x
    x = 27,381,967,684.11/181,138.26
  6. Step 6: Final answer
    x = 151,166.12

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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.