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Finding the Fourth Proportional to 100,706.60, 138,972.33 and 55,384.58

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Solution

The fourth proportional to 100,706.60, 138,972.33 and 55,384.58 is: 76,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,706.60 : 138,972.33 = 55,384.58 : x
  2. Step 2: Convert to fraction form
    100,706.60/138,972.33 = 55,384.58/x
  3. Step 3: Cross multiply
    100,706.60x = 138,972.33 × 55,384.58
  4. Step 4: Simplify right side
    100,706.60x = 7,696,924,476.10
  5. Step 5: Solve for x
    x = 7,696,924,476.10/100,706.60
  6. Step 6: Final answer
    x = 76,429.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.