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Finding the Fourth Proportional to 100,706.11, 138,971.64 and 55,384.08

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Solution

The fourth proportional to 100,706.11, 138,971.64 and 55,384.08 is: 76,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,706.11 : 138,971.64 = 55,384.08 : x
  2. Step 2: Convert to fraction form
    100,706.11/138,971.64 = 55,384.08/x
  3. Step 3: Cross multiply
    100,706.11x = 138,971.64 × 55,384.08
  4. Step 4: Simplify right side
    100,706.11x = 7,696,816,427.49
  5. Step 5: Solve for x
    x = 7,696,816,427.49/100,706.11
  6. Step 6: Final answer
    x = 76,428.50

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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.