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Finding the Fourth Proportional to 121,470.40, 182,256 and 54,864.64

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Solution

The fourth proportional to 121,470.40, 182,256 and 54,864.64 is: 82,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,470.40 : 182,256 = 54,864.64 : x
  2. Step 2: Convert to fraction form
    121,470.40/182,256 = 54,864.64/x
  3. Step 3: Cross multiply
    121,470.40x = 182,256 × 54,864.64
  4. Step 4: Simplify right side
    121,470.40x = 9,999,409,827.84
  5. Step 5: Solve for x
    x = 9,999,409,827.84/121,470.40
  6. Step 6: Final answer
    x = 82,319.72

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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.