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Finding the Fourth Proportional to 178,143.64, 245,835.73 and 101,686.97

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Solution

The fourth proportional to 178,143.64, 245,835.73 and 101,686.97 is: 140,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,143.64 : 245,835.73 = 101,686.97 : x
  2. Step 2: Convert to fraction form
    178,143.64/245,835.73 = 101,686.97/x
  3. Step 3: Cross multiply
    178,143.64x = 245,835.73 × 101,686.97
  4. Step 4: Simplify right side
    178,143.64x = 24,998,290,501.44
  5. Step 5: Solve for x
    x = 24,998,290,501.44/178,143.64
  6. Step 6: Final answer
    x = 140,326.60

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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.