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Finding the Fourth Proportional to 136,376.34, 188,443.40 and 106,239.48

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Solution

The fourth proportional to 136,376.34, 188,443.40 and 106,239.48 is: 146,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,376.34 : 188,443.40 = 106,239.48 : x
  2. Step 2: Convert to fraction form
    136,376.34/188,443.40 = 106,239.48/x
  3. Step 3: Cross multiply
    136,376.34x = 188,443.40 × 106,239.48
  4. Step 4: Simplify right side
    136,376.34x = 20,020,128,294.23
  5. Step 5: Solve for x
    x = 20,020,128,294.23/136,376.34
  6. Step 6: Final answer
    x = 146,800.60

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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.