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Finding the Fourth Proportional to 138,262.70, 190,806.11 and 77,835.53

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Solution

The fourth proportional to 138,262.70, 190,806.11 and 77,835.53 is: 107,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,262.70 : 190,806.11 = 77,835.53 : x
  2. Step 2: Convert to fraction form
    138,262.70/190,806.11 = 77,835.53/x
  3. Step 3: Cross multiply
    138,262.70x = 190,806.11 × 77,835.53
  4. Step 4: Simplify right side
    138,262.70x = 14,851,494,699.09
  5. Step 5: Solve for x
    x = 14,851,494,699.09/138,262.70
  6. Step 6: Final answer
    x = 107,415.05

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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.