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Finding the Fourth Proportional to 238,346.64, 357,563.88 and 78,431.52

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Solution

The fourth proportional to 238,346.64, 357,563.88 and 78,431.52 is: 117,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,346.64 : 357,563.88 = 78,431.52 : x
  2. Step 2: Convert to fraction form
    238,346.64/357,563.88 = 78,431.52/x
  3. Step 3: Cross multiply
    238,346.64x = 357,563.88 × 78,431.52
  4. Step 4: Simplify right side
    238,346.64x = 28,044,278,605.50
  5. Step 5: Solve for x
    x = 28,044,278,605.50/238,346.64
  6. Step 6: Final answer
    x = 117,661.73

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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.