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Finding the Fourth Proportional to 138,225.98, 190,757.99 and 77,800.53

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Solution

The fourth proportional to 138,225.98, 190,757.99 and 77,800.53 is: 107,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,225.98 : 190,757.99 = 77,800.53 : x
  2. Step 2: Convert to fraction form
    138,225.98/190,757.99 = 77,800.53/x
  3. Step 3: Cross multiply
    138,225.98x = 190,757.99 × 77,800.53
  4. Step 4: Simplify right side
    138,225.98x = 14,841,073,195.95
  5. Step 5: Solve for x
    x = 14,841,073,195.95/138,225.98
  6. Step 6: Final answer
    x = 107,368.19

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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.