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Finding the Fourth Proportional to 144,712.80, 217,069.20 and 121,384.80

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Solution

The fourth proportional to 144,712.80, 217,069.20 and 121,384.80 is: 182,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,712.80 : 217,069.20 = 121,384.80 : x
  2. Step 2: Convert to fraction form
    144,712.80/217,069.20 = 121,384.80/x
  3. Step 3: Cross multiply
    144,712.80x = 217,069.20 × 121,384.80
  4. Step 4: Simplify right side
    144,712.80x = 26,348,901,428.16
  5. Step 5: Solve for x
    x = 26,348,901,428.16/144,712.80
  6. Step 6: Final answer
    x = 182,077.20

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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.