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Finding the Fourth Proportional to 178,147.69, 245,848.60 and 100,617.12

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Solution

The fourth proportional to 178,147.69, 245,848.60 and 100,617.12 is: 138,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,147.69 : 245,848.60 = 100,617.12 : x
  2. Step 2: Convert to fraction form
    178,147.69/245,848.60 = 100,617.12/x
  3. Step 3: Cross multiply
    178,147.69x = 245,848.60 × 100,617.12
  4. Step 4: Simplify right side
    178,147.69x = 24,736,577,836.49
  5. Step 5: Solve for x
    x = 24,736,577,836.49/178,147.69
  6. Step 6: Final answer
    x = 138,854.33

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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.