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Finding the Fourth Proportional to 216,784.81, 299,177.72 and 121,300.39

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Solution

The fourth proportional to 216,784.81, 299,177.72 and 121,300.39 is: 167,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,784.81 : 299,177.72 = 121,300.39 : x
  2. Step 2: Convert to fraction form
    216,784.81/299,177.72 = 121,300.39/x
  3. Step 3: Cross multiply
    216,784.81x = 299,177.72 × 121,300.39
  4. Step 4: Simplify right side
    216,784.81x = 36,290,374,115.31
  5. Step 5: Solve for x
    x = 36,290,374,115.31/216,784.81
  6. Step 6: Final answer
    x = 167,402.75

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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.