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Finding the Fourth Proportional to 206,957.16, 285,624.48 and 115,085.54

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Solution

The fourth proportional to 206,957.16, 285,624.48 and 115,085.54 is: 158,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,957.16 : 285,624.48 = 115,085.54 : x
  2. Step 2: Convert to fraction form
    206,957.16/285,624.48 = 115,085.54/x
  3. Step 3: Cross multiply
    206,957.16x = 285,624.48 × 115,085.54
  4. Step 4: Simplify right side
    206,957.16x = 32,871,246,089.90
  5. Step 5: Solve for x
    x = 32,871,246,089.90/206,957.16
  6. Step 6: Final answer
    x = 158,831.16

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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.