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Finding the Fourth Proportional to 224,582.72, 309,923.52 and 123,980

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Solution

The fourth proportional to 224,582.72, 309,923.52 and 123,980 is: 171,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,582.72 : 309,923.52 = 123,980 : x
  2. Step 2: Convert to fraction form
    224,582.72/309,923.52 = 123,980/x
  3. Step 3: Cross multiply
    224,582.72x = 309,923.52 × 123,980
  4. Step 4: Simplify right side
    224,582.72x = 38,424,318,009.60
  5. Step 5: Solve for x
    x = 38,424,318,009.60/224,582.72
  6. Step 6: Final answer
    x = 171,092.05

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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.