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Finding the Fourth Proportional to 216,542.72, 298,831.08 and 121,054.64

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Solution

The fourth proportional to 216,542.72, 298,831.08 and 121,054.64 is: 167,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,542.72 : 298,831.08 = 121,054.64 : x
  2. Step 2: Convert to fraction form
    216,542.72/298,831.08 = 121,054.64/x
  3. Step 3: Cross multiply
    216,542.72x = 298,831.08 × 121,054.64
  4. Step 4: Simplify right side
    216,542.72x = 36,174,888,810.21
  5. Step 5: Solve for x
    x = 36,174,888,810.21/216,542.72
  6. Step 6: Final answer
    x = 167,056.59

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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.