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Finding the Fourth Proportional to 165,643.10, 248,464.65 and 154,489.40

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Solution

The fourth proportional to 165,643.10, 248,464.65 and 154,489.40 is: 231,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,643.10 : 248,464.65 = 154,489.40 : x
  2. Step 2: Convert to fraction form
    165,643.10/248,464.65 = 154,489.40/x
  3. Step 3: Cross multiply
    165,643.10x = 248,464.65 × 154,489.40
  4. Step 4: Simplify right side
    165,643.10x = 38,385,154,699.71
  5. Step 5: Solve for x
    x = 38,385,154,699.71/165,643.10
  6. Step 6: Final answer
    x = 231,734.10

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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.