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Finding the Fourth Proportional to 105,802.25, 158,609.95 and 80,953.22

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Solution

The fourth proportional to 105,802.25, 158,609.95 and 80,953.22 is: 121,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,802.25 : 158,609.95 = 80,953.22 : x
  2. Step 2: Convert to fraction form
    105,802.25/158,609.95 = 80,953.22/x
  3. Step 3: Cross multiply
    105,802.25x = 158,609.95 × 80,953.22
  4. Step 4: Simplify right side
    105,802.25x = 12,839,986,370.68
  5. Step 5: Solve for x
    x = 12,839,986,370.68/105,802.25
  6. Step 6: Final answer
    x = 121,358.35

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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.