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Finding the Fourth Proportional to 165,638.70, 248,458.05 and 157,085.10

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Solution

The fourth proportional to 165,638.70, 248,458.05 and 157,085.10 is: 235,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,638.70 : 248,458.05 = 157,085.10 : x
  2. Step 2: Convert to fraction form
    165,638.70/248,458.05 = 157,085.10/x
  3. Step 3: Cross multiply
    165,638.70x = 248,458.05 × 157,085.10
  4. Step 4: Simplify right side
    165,638.70x = 39,029,057,630.06
  5. Step 5: Solve for x
    x = 39,029,057,630.06/165,638.70
  6. Step 6: Final answer
    x = 235,627.65

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1.5x scale

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.