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Finding the Fourth Proportional to 170,646.48, 235,473.48 and 120,258

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Solution

The fourth proportional to 170,646.48, 235,473.48 and 120,258 is: 165,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,646.48 : 235,473.48 = 120,258 : x
  2. Step 2: Convert to fraction form
    170,646.48/235,473.48 = 120,258/x
  3. Step 3: Cross multiply
    170,646.48x = 235,473.48 × 120,258
  4. Step 4: Simplify right side
    170,646.48x = 28,317,569,757.84
  5. Step 5: Solve for x
    x = 28,317,569,757.84/170,646.48
  6. Step 6: Final answer
    x = 165,942.89

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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.