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Finding the Fourth Proportional to 210,194.75, 290,068.76 and 134,743.25

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Solution

The fourth proportional to 210,194.75, 290,068.76 and 134,743.25 is: 185,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,194.75 : 290,068.76 = 134,743.25 : x
  2. Step 2: Convert to fraction form
    210,194.75/290,068.76 = 134,743.25/x
  3. Step 3: Cross multiply
    210,194.75x = 290,068.76 × 134,743.25
  4. Step 4: Simplify right side
    210,194.75x = 39,084,807,445.87
  5. Step 5: Solve for x
    x = 39,084,807,445.87/210,194.75
  6. Step 6: Final answer
    x = 185,945.69

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1.5x scale

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.