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Finding the Fourth Proportional to 209,538.56, 314,392 and 95,740.30

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Solution

The fourth proportional to 209,538.56, 314,392 and 95,740.30 is: 143,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,538.56 : 314,392 = 95,740.30 : x
  2. Step 2: Convert to fraction form
    209,538.56/314,392 = 95,740.30/x
  3. Step 3: Cross multiply
    209,538.56x = 314,392 × 95,740.30
  4. Step 4: Simplify right side
    209,538.56x = 30,099,984,397.60
  5. Step 5: Solve for x
    x = 30,099,984,397.60/209,538.56
  6. Step 6: Final answer
    x = 143,648.90

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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.