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Finding the Fourth Proportional to 143,619.40, 215,429.10 and 81,411.40

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Solution

The fourth proportional to 143,619.40, 215,429.10 and 81,411.40 is: 122,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,619.40 : 215,429.10 = 81,411.40 : x
  2. Step 2: Convert to fraction form
    143,619.40/215,429.10 = 81,411.40/x
  3. Step 3: Cross multiply
    143,619.40x = 215,429.10 × 81,411.40
  4. Step 4: Simplify right side
    143,619.40x = 17,538,384,631.74
  5. Step 5: Solve for x
    x = 17,538,384,631.74/143,619.40
  6. Step 6: Final answer
    x = 122,117.10

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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.