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Finding the Fourth Proportional to 289,686.83, 434,549.31 and 100,165.51

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Solution

The fourth proportional to 289,686.83, 434,549.31 and 100,165.51 is: 150,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,686.83 : 434,549.31 = 100,165.51 : x
  2. Step 2: Convert to fraction form
    289,686.83/434,549.31 = 100,165.51/x
  3. Step 3: Cross multiply
    289,686.83x = 434,549.31 × 100,165.51
  4. Step 4: Simplify right side
    289,686.83x = 43,526,853,423.86
  5. Step 5: Solve for x
    x = 43,526,853,423.86/289,686.83
  6. Step 6: Final answer
    x = 150,254.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.