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Finding the Fourth Proportional to 121,411.40, 182,052.30 and 51,211.40

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Solution

The fourth proportional to 121,411.40, 182,052.30 and 51,211.40 is: 76,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411.40 : 182,052.30 = 51,211.40 : x
  2. Step 2: Convert to fraction form
    121,411.40/182,052.30 = 51,211.40/x
  3. Step 3: Cross multiply
    121,411.40x = 182,052.30 × 51,211.40
  4. Step 4: Simplify right side
    121,411.40x = 9,323,153,156.22
  5. Step 5: Solve for x
    x = 9,323,153,156.22/121,411.40
  6. Step 6: Final answer
    x = 76,789.77

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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.