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Finding the Fourth Proportional to 121,812.84, 182,460 and 69,195.24

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Solution

The fourth proportional to 121,812.84, 182,460 and 69,195.24 is: 103,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,812.84 : 182,460 = 69,195.24 : x
  2. Step 2: Convert to fraction form
    121,812.84/182,460 = 69,195.24/x
  3. Step 3: Cross multiply
    121,812.84x = 182,460 × 69,195.24
  4. Step 4: Simplify right side
    121,812.84x = 12,625,363,490.40
  5. Step 5: Solve for x
    x = 12,625,363,490.40/121,812.84
  6. Step 6: Final answer
    x = 103,645.59

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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.