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Finding the Fourth Proportional to 234,643.28, 351,978.61 and 90,549.86

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Solution

The fourth proportional to 234,643.28, 351,978.61 and 90,549.86 is: 135,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,643.28 : 351,978.61 = 90,549.86 : x
  2. Step 2: Convert to fraction form
    234,643.28/351,978.61 = 90,549.86/x
  3. Step 3: Cross multiply
    234,643.28x = 351,978.61 × 90,549.86
  4. Step 4: Simplify right side
    234,643.28x = 31,871,613,858.49
  5. Step 5: Solve for x
    x = 31,871,613,858.49/234,643.28
  6. Step 6: Final answer
    x = 135,830.07

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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.