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Finding the Fourth Proportional to 121,438.62, 182,173.14 and 65,201.40

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Solution

The fourth proportional to 121,438.62, 182,173.14 and 65,201.40 is: 97,810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,438.62 : 182,173.14 = 65,201.40 : x
  2. Step 2: Convert to fraction form
    121,438.62/182,173.14 = 65,201.40/x
  3. Step 3: Cross multiply
    121,438.62x = 182,173.14 × 65,201.40
  4. Step 4: Simplify right side
    121,438.62x = 11,877,943,770.40
  5. Step 5: Solve for x
    x = 11,877,943,770.40/121,438.62
  6. Step 6: Final answer
    x = 97,810.27

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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.