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Finding the Fourth Proportional to 210,792.75, 290,886.74 and 120,177.90

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Solution

The fourth proportional to 210,792.75, 290,886.74 and 120,177.90 is: 165,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,792.75 : 290,886.74 = 120,177.90 : x
  2. Step 2: Convert to fraction form
    210,792.75/290,886.74 = 120,177.90/x
  3. Step 3: Cross multiply
    210,792.75x = 290,886.74 × 120,177.90
  4. Step 4: Simplify right side
    210,792.75x = 34,958,158,894.94
  5. Step 5: Solve for x
    x = 34,958,158,894.94/210,792.75
  6. Step 6: Final answer
    x = 165,841.37

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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.