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Finding the Fourth Proportional to 137,019.17, 205,388.67 and 77,729.60

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Solution

The fourth proportional to 137,019.17, 205,388.67 and 77,729.60 is: 116,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,019.17 : 205,388.67 = 77,729.60 : x
  2. Step 2: Convert to fraction form
    137,019.17/205,388.67 = 77,729.60/x
  3. Step 3: Cross multiply
    137,019.17x = 205,388.67 × 77,729.60
  4. Step 4: Simplify right side
    137,019.17x = 15,964,779,163.63
  5. Step 5: Solve for x
    x = 15,964,779,163.63/137,019.17
  6. Step 6: Final answer
    x = 116,514.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.