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Finding the Fourth Proportional to 147,718.72, 203,848.96 and 83,187.84

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Solution

The fourth proportional to 147,718.72, 203,848.96 and 83,187.84 is: 114,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,718.72 : 203,848.96 = 83,187.84 : x
  2. Step 2: Convert to fraction form
    147,718.72/203,848.96 = 83,187.84/x
  3. Step 3: Cross multiply
    147,718.72x = 203,848.96 × 83,187.84
  4. Step 4: Simplify right side
    147,718.72x = 16,957,754,668.65
  5. Step 5: Solve for x
    x = 16,957,754,668.65/147,718.72
  6. Step 6: Final answer
    x = 114,797.60

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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.