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Finding the Fourth Proportional to 137,889.09, 190,287 and 77,459.76

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Solution

The fourth proportional to 137,889.09, 190,287 and 77,459.76 is: 106,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,889.09 : 190,287 = 77,459.76 : x
  2. Step 2: Convert to fraction form
    137,889.09/190,287 = 77,459.76/x
  3. Step 3: Cross multiply
    137,889.09x = 190,287 × 77,459.76
  4. Step 4: Simplify right side
    137,889.09x = 14,739,585,351.12
  5. Step 5: Solve for x
    x = 14,739,585,351.12/137,889.09
  6. Step 6: Final answer
    x = 106,894.50

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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.