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Finding the Fourth Proportional to 216,071.20, 323,831.40 and 121,301.20

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Solution

The fourth proportional to 216,071.20, 323,831.40 and 121,301.20 is: 181,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,071.20 : 323,831.40 = 121,301.20 : x
  2. Step 2: Convert to fraction form
    216,071.20/323,831.40 = 121,301.20/x
  3. Step 3: Cross multiply
    216,071.20x = 323,831.40 × 121,301.20
  4. Step 4: Simplify right side
    216,071.20x = 39,281,137,417.68
  5. Step 5: Solve for x
    x = 39,281,137,417.68/216,071.20
  6. Step 6: Final answer
    x = 181,797.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.