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Finding the Fourth Proportional to 157,831.80, 217,812.60 and 86,215.20

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Solution

The fourth proportional to 157,831.80, 217,812.60 and 86,215.20 is: 118,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,831.80 : 217,812.60 = 86,215.20 : x
  2. Step 2: Convert to fraction form
    157,831.80/217,812.60 = 86,215.20/x
  3. Step 3: Cross multiply
    157,831.80x = 217,812.60 × 86,215.20
  4. Step 4: Simplify right side
    157,831.80x = 18,778,756,871.52
  5. Step 5: Solve for x
    x = 18,778,756,871.52/157,831.80
  6. Step 6: Final answer
    x = 118,979.55

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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.