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Finding the Fourth Proportional to 223,280.38, 334,931.46 and 90,144.01

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Solution

The fourth proportional to 223,280.38, 334,931.46 and 90,144.01 is: 135,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,280.38 : 334,931.46 = 90,144.01 : x
  2. Step 2: Convert to fraction form
    223,280.38/334,931.46 = 90,144.01/x
  3. Step 3: Cross multiply
    223,280.38x = 334,931.46 × 90,144.01
  4. Step 4: Simplify right side
    223,280.38x = 30,192,064,879.55
  5. Step 5: Solve for x
    x = 30,192,064,879.55/223,280.38
  6. Step 6: Final answer
    x = 135,220.41

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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.