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Finding the Fourth Proportional to 137,806.12, 190,174.44 and 77,389.84

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Solution

The fourth proportional to 137,806.12, 190,174.44 and 77,389.84 is: 106,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,806.12 : 190,174.44 = 77,389.84 : x
  2. Step 2: Convert to fraction form
    137,806.12/190,174.44 = 77,389.84/x
  3. Step 3: Cross multiply
    137,806.12x = 190,174.44 × 77,389.84
  4. Step 4: Simplify right side
    137,806.12x = 14,717,569,483.69
  5. Step 5: Solve for x
    x = 14,717,569,483.69/137,806.12
  6. Step 6: Final answer
    x = 106,799.10

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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.