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Finding the Fourth Proportional to 121,465.05, 182,142.90 and 54,870.90

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Solution

The fourth proportional to 121,465.05, 182,142.90 and 54,870.90 is: 82,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,465.05 : 182,142.90 = 54,870.90 : x
  2. Step 2: Convert to fraction form
    121,465.05/182,142.90 = 54,870.90/x
  3. Step 3: Cross multiply
    121,465.05x = 182,142.90 × 54,870.90
  4. Step 4: Simplify right side
    121,465.05x = 9,994,344,851.61
  5. Step 5: Solve for x
    x = 9,994,344,851.61/121,465.05
  6. Step 6: Final answer
    x = 82,281.65

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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.